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10055651232 = 25311171134957
BaseRepresentation
bin10010101110101110…
…10000111110100000
3221221210111000021010
421113113100332200
5131043221314412
64341451300520
7504121424304
oct112727207640
927853430233
1010055651232
1142a0175670
121b4774a740
13c433a3bb3
146b56cbd04
153dcc0233c
hex2575d0fa0

10055651232 has 192 divisors, whose sum is σ = 30765619584. Its totient is φ = 2841968640.

The previous prime is 10055651213. The next prime is 10055651251. The reversal of 10055651232 is 23215655001.

It is a happy number.

10055651232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10055651213) and next prime (10055651251).

It is a super-2 number, since 2×100556512322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10055651232.

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 31 ways as a sum of consecutive naturals, for example, 2026098 + ... + 2031054.

It is an arithmetic number, because the mean of its divisors is an integer number (160237602).

Almost surely, 210055651232 is an apocalyptic number.

10055651232 is a gapful number since it is divisible by the number (12) 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 10055651232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15382809792).

10055651232 is an abundant number, since it is smaller than the sum of its proper divisors (20709968352).

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

10055651232 is a wasteful number, since it uses less digits than its factorization.

10055651232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10055651232 in words is "ten billion, fifty-five million, six hundred fifty-one thousand, two hundred thirty-two".