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135052458264 = 23321875728587
BaseRepresentation
bin111110111000111000…
…0001111100100011000
3110220121001000201101200
41331301300033210120
54203041412131024
6142013042514200
712520503645243
oct1756160174430
9426531021350
10135052458264
1152303656879
1222210965960
13c97386c6c9
14677250425a
1537a66cd2c9
hex1f71c0f918

135052458264 has 24 divisors (see below), whose sum is σ = 365767074660. Its totient is φ = 45017486064.

The previous prime is 135052458263. The next prime is 135052458313. The reversal of 135052458264 is 462854250531.

135052458264 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 5 + 2 + 4 + 582 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135052458263) 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, 937864222 + ... + 937864365.

Almost surely, 2135052458264 is an apocalyptic number.

It is an amenable number.

135052458264 is an abundant number, since it is smaller than the sum of its proper divisors (230714616396).

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

135052458264 is a wasteful number, since it uses less digits than its factorization.

135052458264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875728599 (or 1875728592 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 135052458264 in words is "one hundred thirty-five billion, fifty-two million, four hundred fifty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1875728587 3751457174 5627185761 7502914348 11254371522 15005828696 16881557283 22508743044 33763114566 45017486088 67526229132 135052458264