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135057924066 = 23132173769903
BaseRepresentation
bin111110111001000010…
…1000101111111100010
3110220121102022102001210
41331302011011333202
54203044312032231
6142013400010550
712520601261442
oct1756205057742
9426542272053
10135057924066
115230674a36a
1222212760a56
13c974a34500
146773128122
1537a6e0ca46
hex1f72145fe2

135057924066 has 48 divisors (see below), whose sum is σ = 294183398016. Its totient is φ = 41316020928.

The previous prime is 135057924059. The next prime is 135057924083. The reversal of 135057924066 is 660429750531.

135057924066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209530 + ... + 560373.

It is an arithmetic number, because the mean of its divisors is an integer number (6128820792).

Almost surely, 2135057924066 is an apocalyptic number.

135057924066 is an abundant number, since it is smaller than the sum of its proper divisors (159125473950).

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

135057924066 is a wasteful number, since it uses less digits than its factorization.

135057924066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770107 (or 770094 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 135057924066 in words is "one hundred thirty-five billion, fifty-seven million, nine hundred twenty-four thousand, sixty-six".

Divisors: 1 2 3 6 13 26 39 78 169 173 338 346 507 519 1014 1038 2249 4498 6747 13494 29237 58474 87711 175422 769903 1539806 2309709 4619418 10008739 20017478 30026217 60052434 130113607 133193219 260227214 266386438 390340821 399579657 780681642 799159314 1731511847 3463023694 5194535541 10389071082 22509654011 45019308022 67528962033 135057924066