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10152812052 = 223394007519
BaseRepresentation
bin10010111010010011…
…11001111000010100
3222012120022021212000
421131021321320110
5131243104441202
64355241555300
7506411323065
oct113511717024
928176267760
1010152812052
11433aaa7a69
121b741a5b30
13c5a5622c6
146c458056c
153e64e591c
hex25d279e14

10152812052 has 24 divisors (see below), whose sum is σ = 26322105600. Its totient is φ = 3384270648.

The previous prime is 10152812009. The next prime is 10152812057. The reversal of 10152812052 is 25021825101.

It is a happy number.

10152812052 is a `hidden beast` number, since 10 + 1 + 528 + 120 + 5 + 2 = 666.

10152812052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152812057) 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 7 ways as a sum of consecutive naturals, for example, 47003652 + ... + 47003867.

It is an arithmetic number, because the mean of its divisors is an integer number (1096754400).

Almost surely, 210152812052 is an apocalyptic number.

10152812052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10152812052 is an abundant number, since it is smaller than the sum of its proper divisors (16169293548).

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

10152812052 is a wasteful number, since it uses less digits than its factorization.

10152812052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94007532 (or 94007524 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 10152812052 in words is "ten billion, one hundred fifty-two million, eight hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 94007519 188015038 282022557 376030076 564045114 846067671 1128090228 1692135342 2538203013 3384270684 5076406026 10152812052