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152114204026064 = 2472194023219421
BaseRepresentation
bin100010100101100011011001…
…000110001010010011010000
3201221120222100102100021100202
4202211203121012022103100
5124414214342212313224
61255304144533434332
744016613531361600
oct4245433106122320
9657528312307322
10152114204026064
11445172a9622165
121508890319b9a8
1366b5400585567
14297c51c552c00
15128bc8d62beae
hex8a58d918a4d0

152114204026064 has 30 divisors (see below), whose sum is σ = 342839028718674. Its totient is φ = 65191801725120.

The previous prime is 152114204025997. The next prime is 152114204026067. The reversal of 152114204026064 is 460620402411251.

It can be written as a sum of positive squares in only one way, i.e., 147773198440000 + 4341005586064 = 12156200^2 + 2083508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152114204026067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 97011608927 + ... + 97011610494.

Almost surely, 2152114204026064 is an apocalyptic number.

152114204026064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152114204026064 is an abundant number, since it is smaller than the sum of its proper divisors (190724824692610).

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

152114204026064 is a wasteful number, since it uses less digits than its factorization.

152114204026064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194023219443 (or 194023219430 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 152114204026064 in words is "one hundred fifty-two trillion, one hundred fourteen billion, two hundred four million, twenty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 194023219421 388046438842 776092877684 1358162535947 1552185755368 2716325071894 3104371510736 5432650143788 9507137751629 10865300287576 19014275503258 21730600575152 38028551006516 76057102013032 152114204026064