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10717718688 = 253312404767
BaseRepresentation
bin10011111101101001…
…10110100010100000
31000122221021112002000
421332310312202200
5133422213444223
64531301524000
7526411051155
oct117664664240
930587245060
1010717718688
1145aa966756
1220b1413600
13101a5c17a1
147395d022c
1542add0543
hex27ed368a0

10717718688 has 48 divisors (see below), whose sum is σ = 31260015360. Its totient is φ = 3572572608.

The previous prime is 10717718657. The next prime is 10717718699. The reversal of 10717718688 is 88681771701.

10717718688 is digitally balanced in base 2, 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 (48).

It is a super-2 number, since 2×107177186882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6201520 + ... + 6203247.

It is an arithmetic number, because the mean of its divisors is an integer number (651250320).

Almost surely, 210717718688 is an apocalyptic number.

10717718688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10717718688 is an abundant number, since it is smaller than the sum of its proper divisors (20542296672).

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

10717718688 is a wasteful number, since it uses less digits than its factorization.

10717718688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404786 (or 12404772 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 54.

The spelling of 10717718688 in words is "ten billion, seven hundred seventeen million, seven hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12404767 24809534 37214301 49619068 74428602 99238136 111642903 148857204 198476272 223285806 297714408 334928709 396952544 446571612 595428816 669857418 893143224 1190857632 1339714836 1786286448 2679429672 3572572896 5358859344 10717718688