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152180268864 = 2631360969659
BaseRepresentation
bin1000110110111010100…
…1101001111101000000
3112112210201000122111020
42031232221221331000
54443131122100424
6153524411145440
713665111641151
oct2155651517500
9475721018436
10152180268864
11595a2881448
12255b0a45280
1311473192b90
147519173928
153e5a200079
hex236ea69f40

152180268864 has 56 divisors (see below), whose sum is σ = 433616221920. Its totient is φ = 46824697344.

The previous prime is 152180268787. The next prime is 152180268901. The reversal of 152180268864 is 468862081251.

152180268864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30482334 + ... + 30487325.

It is an arithmetic number, because the mean of its divisors is an integer number (7743146820).

Almost surely, 2152180268864 is an apocalyptic number.

It is an amenable number.

152180268864 is an abundant number, since it is smaller than the sum of its proper divisors (281435953056).

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

152180268864 is a wasteful number, since it uses less digits than its factorization.

152180268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60969687 (or 60969677 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 152180268864 in words is "one hundred fifty-two billion, one hundred eighty million, two hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 60969659 121939318 182908977 243878636 365817954 487757272 731635908 792605567 975514544 1463271816 1585211134 1951029088 2377816701 2926543632 3170422268 3902058176 4755633402 5853087264 6340844536 9511266804 11706174528 12681689072 19022533608 25363378144 38045067216 50726756288 76090134432 152180268864