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108899048960 = 2951310331769
BaseRepresentation
bin110010101101011100…
…0111001111000000000
3101102002100202212110122
41211122320321320000
53241011124031320
6122005540315412
710603422433442
oct1453270717000
9342070685418
10108899048960
1142202746319
12191320a2b68
13a3663a53a0
1453b0cb8492
152c75624d25
hex195ae39e00

108899048960 has 160 divisors (see below), whose sum is σ = 283926202560. Its totient is φ = 39817248768.

The previous prime is 108899048941. The next prime is 108899048963. The reversal of 108899048960 is 69840998801.

108899048960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 108899048893 and 108899048902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108899048963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3411956 + ... + 3443724.

It is an arithmetic number, because the mean of its divisors is an integer number (1774538766).

Almost surely, 2108899048960 is an apocalyptic number.

108899048960 is a gapful number since it is divisible by the number (10) 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 108899048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141963101280).

108899048960 is an abundant number, since it is smaller than the sum of its proper divisors (175027153600).

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

108899048960 is a wasteful number, since it uses less digits than its factorization.

108899048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31908 (or 31892 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 62.

The spelling of 108899048960 in words is "one hundred eight billion, eight hundred ninety-nine million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 103 104 128 130 160 206 208 256 260 320 412 416 512 515 520 640 824 832 1030 1040 1280 1339 1648 1664 2060 2080 2560 2678 3296 3328 4120 4160 5356 6592 6656 6695 8240 8320 10712 13184 13390 16480 16640 21424 26368 26780 31769 32960 33280 42848 52736 53560 63538 65920 85696 107120 127076 131840 158845 171392 214240 254152 263680 317690 342784 412997 428480 508304 635380 685568 825994 856960 1016608 1270760 1651988 1713920 2033216 2064985 2541520 3272207 3303976 3427840 4066432 4129970 5083040 6544414 6607952 8132864 8259940 10166080 13088828 13215904 16265728 16361035 16519880 20332160 26177656 26431808 32722070 33039760 40664320 42538691 52355312 52863616 65444140 66079520 81328640 85077382 104710624 105727232 130888280 132159040 170154764 209421248 211454464 212693455 261776560 264318080 340309528 418842496 425386910 523553120 528636160 680619056 837684992 850773820 1047106240 1057272320 1361238112 1675369984 1701547640 2094212480 2722476224 3403095280 4188424960 5444952448 6806190560 8376849920 10889904896 13612381120 21779809792 27224762240 54449524480 108899048960