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152400104355 = 35791092574591
BaseRepresentation
bin1000110111101111000…
…0010000101110100011
3112120101000200110002110
42031323300100232203
54444103411314410
6154002303050403
714003421341022
oct2157360205643
9476330613073
10152400104355
11596a5982074
12256525a0a03
13114a98a3755
14753a43a8b9
153e6e676720
hex237bc10ba3

152400104355 has 64 divisors (see below), whose sum is σ = 250216243200. Its totient is φ = 79188295680.

The previous prime is 152400104309. The next prime is 152400104429. The reversal of 152400104355 is 553401004251.

152400104355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-152400104355 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 33193110 + ... + 33197700.

It is an arithmetic number, because the mean of its divisors is an integer number (3909628800).

Almost surely, 2152400104355 is an apocalyptic number.

152400104355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152400104355 is a deficient number, since it is larger than the sum of its proper divisors (97816138845).

152400104355 is a wasteful number, since it uses less digits than its factorization.

152400104355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044.

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 152400104355 in words is "one hundred fifty-two billion, four hundred million, one hundred four thousand, three hundred fifty-five".

Divisors: 1 3 5 15 79 109 237 257 327 395 545 771 1185 1285 1635 3855 4591 8611 13773 20303 22955 25833 28013 43055 60909 68865 84039 101515 129165 140065 304545 362689 420195 500419 1088067 1179887 1501257 1813445 2213027 2502095 3539661 5440335 5899435 6639081 7506285 11065135 17698305 33195405 39533101 93211073 118599303 128607683 197665505 279633219 385823049 466055365 592996515 643038415 1398166095 1929115245 10160006957 30480020871 50800034785 152400104355