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10320555432 = 233111719127953
BaseRepresentation
bin10011001110010011…
…10010110110101000
3222122020221112111210
421213021302312220
5132114030233212
64424033153120
7513516162615
oct114711626650
928566845453
1010320555432
114416759060
1220003bb7a0
13c86234445
146dc96750c
154060cc53c
hex267272da8

10320555432 has 256 divisors, whose sum is σ = 31651430400. Its totient is φ = 2763694080.

The previous prime is 10320555407. The next prime is 10320555457. The reversal of 10320555432 is 23455502301.

10320555432 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 (10320555407) and next prime (10320555457).

It is a self number, because there is not a number n which added to its sum of digits gives 10320555432.

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 63 ways as a sum of consecutive naturals, for example, 10829068 + ... + 10830020.

It is an arithmetic number, because the mean of its divisors is an integer number (123638400).

Almost surely, 210320555432 is an apocalyptic number.

10320555432 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 10320555432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825715200).

10320555432 is an abundant number, since it is smaller than the sum of its proper divisors (21330874968).

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

10320555432 is a wasteful number, since it uses less digits than its factorization.

10320555432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 10320555432 in words is "ten billion, three hundred twenty million, five hundred fifty-five thousand, four hundred thirty-two".