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135251622256104 = 23321878494753557
BaseRepresentation
bin11110110000001010111000…
…111001100101110111101000
3122201212221002002210102022200
4132300022320321211313220
5120211430310244143404
61155353423144420200
740326415166310204
oct3660127071456750
9581787062712280
10135251622256104
113a105988840a62
1213204806777660
135a61233834393
1425582db9a1b04
15109831222c839
hex7b02b8e65de8

135251622256104 has 24 divisors (see below), whose sum is σ = 366306476943810. Its totient is φ = 45083874085344.

The previous prime is 135251622256087. The next prime is 135251622256117. The reversal of 135251622256104 is 401652226152531.

135251622256104 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 5 + 1 + 6 + 2 + 2 + 25 + 610 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127283478872004 + 7968143384100 = 11281998^2 + 2822790^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135251622256104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 939247376707 + ... + 939247376850.

Almost surely, 2135251622256104 is an apocalyptic number.

It is an amenable number.

135251622256104 is an abundant number, since it is smaller than the sum of its proper divisors (231054854687706).

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

135251622256104 is a wasteful number, since it uses less digits than its factorization.

135251622256104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878494753569 (or 1878494753562 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 135251622256104 in words is "one hundred thirty-five trillion, two hundred fifty-one billion, six hundred twenty-two million, two hundred fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1878494753557 3756989507114 5635484260671 7513979014228 11270968521342 15027958028456 16906452782013 22541937042684 33812905564026 45083874085368 67625811128052 135251622256104