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13377008034 = 2331353359539
BaseRepresentation
bin11000111010101010…
…01111000110100010
31021112021012102021000
430131111033012202
5204344003224114
610051215412430
7652331456265
oct143525170642
937467172230
1013377008034
115744a77145
122713b24116
131352523090
1490c866cdc
155345c2e09
hex31d54f1a2

13377008034 has 64 divisors (see below), whose sum is σ = 32617468800. Its totient is φ = 4038330816.

The previous prime is 13377008027. The next prime is 13377008041. The reversal of 13377008034 is 43080077331.

13377008034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13377008027) and next prime (13377008041).

It is a self number, because there is not a number n which added to its sum of digits gives 13377008034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142564 + ... + 216975.

It is an arithmetic number, because the mean of its divisors is an integer number (509647950).

Almost surely, 213377008034 is an apocalyptic number.

13377008034 is an abundant number, since it is smaller than the sum of its proper divisors (19240460766).

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

13377008034 is a wasteful number, since it uses less digits than its factorization.

13377008034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359616 (or 359610 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13377008034 in words is "thirteen billion, three hundred seventy-seven million, eight thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 234 318 351 477 689 702 954 1378 1431 2067 2862 4134 6201 12402 18603 37206 359539 719078 1078617 2157234 3235851 4674007 6471702 9348014 9707553 14022021 19055567 19415106 28044042 38111134 42066063 57166701 84132126 114333402 126198189 171500103 247722371 252396378 343000206 495444742 514500309 743167113 1029000618 1486334226 2229501339 4459002678 6688504017 13377008034