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10656143432 = 23112347112019
BaseRepresentation
bin10011110110010011…
…11101100001001000
31000111122102011200222
421323021331201020
5133310433042212
64521222045212
7525032503364
oct117311754110
930448364628
1010656143432
11457912a310
122094879808
13100a91281c
147313622a4
154257bac72
hex27b27d848

10656143432 has 64 divisors (see below), whose sum is σ = 23228467200. Its totient is φ = 4534488640.

The previous prime is 10656143431. The next prime is 10656143489. The reversal of 10656143432 is 23434165601.

10656143432 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-2 number, since 2×106561434322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10656143392 and 10656143401.

It is not an unprimeable number, because it can be changed into a prime (10656143431) 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, 39119 + ... + 151137.

It is an arithmetic number, because the mean of its divisors is an integer number (362944800).

Almost surely, 210656143432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10656143432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11614233600).

10656143432 is an abundant number, since it is smaller than the sum of its proper divisors (12572323768).

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

10656143432 is a wasteful number, since it uses less digits than its factorization.

10656143432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112106 (or 112102 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 10656143432 in words is "ten billion, six hundred fifty-six million, one hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 47 88 92 94 184 188 253 376 506 517 1012 1034 1081 2024 2068 2162 4136 4324 8648 11891 23782 47564 95128 112019 224038 448076 896152 1232209 2464418 2576437 4928836 5152874 5264893 9857672 10305748 10529786 20611496 21059572 28340807 42119144 56681614 57913823 113363228 115827646 121092539 226726456 231655292 242185078 463310584 484370156 968740312 1332017929 2664035858 5328071716 10656143432