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13076438964 = 22317457140263
BaseRepresentation
bin11000010110110101…
…01001111110110100
31020202022121221000020
430023122221332310
5203240032021324
610001321245140
7642021616521
oct141332517664
936668557006
1013076438964
115600344156
12264b3337b0
131305186264
148c0986148
15518000679
hex30b6a9fb4

13076438964 has 48 divisors (see below), whose sum is σ = 32377419648. Its totient is φ = 4093406208.

The previous prime is 13076438959. The next prime is 13076438971. The reversal of 13076438964 is 46983467031.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23097 + ... + 163359.

It is an arithmetic number, because the mean of its divisors is an integer number (674529576).

Almost surely, 213076438964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13076438964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188709824).

13076438964 is an abundant number, since it is smaller than the sum of its proper divisors (19300980684).

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

13076438964 is a wasteful number, since it uses less digits than its factorization.

13076438964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140744 (or 140742 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 13076438964 in words is "thirteen billion, seventy-six million, four hundred thirty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 457 914 1371 1828 2742 5484 7769 15538 23307 31076 46614 93228 140263 280526 420789 561052 841578 1683156 2384471 4768942 7153413 9537884 14306826 28613652 64100191 128200382 192300573 256400764 384601146 769202292 1089703247 2179406494 3269109741 4358812988 6538219482 13076438964