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108298655608896 = 2636481792
BaseRepresentation
bin11000100111111100111110…
…111001011011000001000000
3112012110020202111220211000000
4120213330332321123001000
5103143331121313441041
61022155414321000000
731545214434016434
oct3047747671330100
9465406674824000
10108298655608896
1131564224829785
1210191008783000
13485769a18a5bc
141ca597bc389c4
15c7c16ad85bb6
hex627f3ee5b040

108298655608896 has 147 divisors (see below), whose sum is σ = 322217007781231. Its totient is φ = 36098802589824.

The previous prime is 108298655608877. The next prime is 108298655608951. The reversal of 108298655608896 is 698806556892801.

The square root of 108298655608896 is 10406664.

It is a perfect power (a square), and thus also a powerful number.

108298655608896 is a `hidden beast` number, since 108 + 298 + 6 + 5 + 5 + 60 + 88 + 96 = 666.

It is a super-3 number, since 3×1082986556088963 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2247815335 + ... + 2247863513.

Almost surely, 2108298655608896 is an apocalyptic number.

108298655608896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108298655608896 is the 10406664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108298655608896

108298655608896 is an abundant number, since it is smaller than the sum of its proper divisors (213918352172335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108298655608896 is an frugal number, since it uses more digits than its factorization.

108298655608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96388 (or 48184 counting only the distinct ones).

The product of its (nonzero) digits is 3583180800, while the sum is 81.

108298655608896 divided by its sum of digits (81) gives a square (1337020439616 = 11562962).

The spelling of 108298655608896 in words is "one hundred eight trillion, two hundred ninety-eight billion, six hundred fifty-five million, six hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 48179 96358 144537 192716 289074 385432 433611 578148 770864 867222 1156296 1300833 1541728 1734444 2312592 2601666 3083456 3468888 3902499 4625184 5203332 6937776 7804998 9250368 10406664 11707497 13875552 15609996 20813328 23414994 27751104 31219992 35122491 41626656 46829988 62439984 70244982 83253312 93659976 124879968 140489964 187319952 249759936 280979928 374639904 561959856 749279808 1123919712 2247839424 2321216041 4642432082 6963648123 9284864164 13927296246 18569728328 20890944369 27854592492 37139456656 41781888738 55709184984 62672833107 74278913312 83563777476 111418369968 125345666214 148557826624 167127554952 188018499321 222836739936 250691332428 334255109904 376036998642 445673479872 501382664856 564055497963 668510219808 752073997284 1002765329712 1128110995926 1337020439616 1504147994568 1692166493889 2005530659424 2256221991852 3008295989136 3384332987778 4011061318848 4512443983704 6016591978272 6768665975556 9024887967408 12033183956544 13537331951112 18049775934816 27074663902224 36099551869632 54149327804448 108298655608896