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10115042256 = 24321138316673
BaseRepresentation
bin10010110101110011…
…10100101111010000
3222002221020101102200
421122321310233100
5131203422323011
64351412243200
7505442304054
oct113271645720
928087211380
1010115042256
11432074aa60
121b63610500
13c52799907
146bd54bc64
153e3034856
hex25ae74bd0

10115042256 has 120 divisors (see below), whose sum is σ = 30964018176. Its totient is φ = 3056977920.

The previous prime is 10115042251. The next prime is 10115042299. The reversal of 10115042256 is 65224051101.

10115042256 is a `hidden beast` number, since 101 + 1 + 504 + 2 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115042251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598336 + ... + 615008.

Almost surely, 210115042256 is an apocalyptic number.

10115042256 is a gapful number since it is divisible by the number (16) 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 10115042256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482009088).

10115042256 is an abundant number, since it is smaller than the sum of its proper divisors (20848975920).

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

10115042256 is a wasteful number, since it uses less digits than its factorization.

10115042256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17081 (or 17072 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10115042256 its reverse (65224051101), we get a palindrome (75339093357).

The spelling of 10115042256 in words is "ten billion, one hundred fifteen million, forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 383 396 528 766 792 1149 1532 1584 2298 3064 3447 4213 4596 6128 6894 8426 9192 12639 13788 16673 16852 18384 25278 27576 33346 33704 37917 50019 50556 55152 66692 67408 75834 100038 101112 133384 150057 151668 183403 200076 202224 266768 300114 303336 366806 400152 550209 600228 606672 733612 800304 1100418 1200456 1467224 1650627 2200836 2400912 2934448 3301254 4401672 6385759 6602508 8803344 12771518 13205016 19157277 25543036 26410032 38314554 51086072 57471831 70243349 76629108 102172144 114943662 140486698 153258216 210730047 229887324 280973396 306516432 421460094 459774648 561946792 632190141 842920188 919549296 1123893584 1264380282 1685840376 2528760564 3371680752 5057521128 10115042256