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16918088352 = 25311213710631
BaseRepresentation
bin11111100000110010…
…11000101010100000
31121200001100221020220
433300121120222200
5234122012311402
611434433203040
71136150243514
oct176031305240
947601327226
1016918088352
1171a1902200
123341a00480
131798043b89
14b66c7a144
156903e6dbc
hex3f0658aa0

16918088352 has 144 divisors (see below), whose sum is σ = 49175211456. Its totient is φ = 5088793600.

The previous prime is 16918088309. The next prime is 16918088381. The reversal of 16918088352 is 25388081961.

It is a junction number, because it is equal to n+sod(n) for n = 16918088295 and 16918088304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586077 + ... + 1596707.

It is an arithmetic number, because the mean of its divisors is an integer number (341494524).

Almost surely, 216918088352 is an apocalyptic number.

16918088352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16918088352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24587605728).

16918088352 is an abundant number, since it is smaller than the sum of its proper divisors (32257123104).

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

16918088352 is a wasteful number, since it uses less digits than its factorization.

16918088352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10803 (or 10784 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 16918088352 in words is "sixteen billion, nine hundred eighteen million, eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 137 176 242 264 274 352 363 411 484 528 548 726 822 968 1056 1096 1452 1507 1644 1936 2192 2904 3014 3288 3872 4384 4521 5808 6028 6576 9042 10631 11616 12056 13152 16577 18084 21262 24112 31893 33154 36168 42524 48224 49731 63786 66308 72336 85048 99462 116941 127572 132616 144672 170096 198924 233882 255144 265232 340192 350823 397848 467764 510288 530464 701646 795696 935528 1020576 1286351 1403292 1456447 1591392 1871056 2572702 2806584 2912894 3742112 3859053 4369341 5145404 5613168 5825788 7718106 8738682 10290808 11226336 11651576 15436212 16020917 17477364 20581616 23303152 30872424 32041834 34954728 41163232 46606304 48062751 61744848 64083668 69909456 96125502 123489696 128167336 139818912 176230087 192251004 256334672 352460174 384502008 512669344 528690261 704920348 769004016 1057380522 1409840696 1538008032 2114761044 2819681392 4229522088 5639362784 8459044176 16918088352