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10117864944 = 2432116387541
BaseRepresentation
bin10010110110001001…
…00101110111110000
3222010010112210102200
421123010211313300
5131210133134234
64351552543200
7505505301345
oct113304456760
928103483380
1010117864944
1143222a8760
121b64551b00
13c53247645
146bda847cc
153e33e0d99
hex25b125df0

10117864944 has 60 divisors (see below), whose sum is σ = 30890153112. Its totient is φ = 3066019200.

The previous prime is 10117864937. The next prime is 10117864949. The reversal of 10117864944 is 44946871101.

10117864944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101178649443 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10117864944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117864949) 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 11 ways as a sum of consecutive naturals, for example, 3192187 + ... + 3195354.

Almost surely, 210117864944 is an apocalyptic number.

It is an amenable number.

10117864944 is an abundant number, since it is smaller than the sum of its proper divisors (20772288168).

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

10117864944 is a wasteful number, since it uses less digits than its factorization.

10117864944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387566 (or 6387557 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10117864944 in words is "ten billion, one hundred seventeen million, eight hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6387541 12775082 19162623 25550164 38325246 51100328 57487869 70262951 76650492 102200656 114975738 140525902 153300984 210788853 229951476 281051804 306601968 421577706 459902952 562103608 632366559 843155412 919805904 1124207216 1264733118 1686310824 2529466236 3372621648 5058932472 10117864944