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13134936896 = 267912972003
BaseRepresentation
bin11000011101110011…
…10011101101000000
31020220101200221002022
430032321303231000
5203400020440041
610011211141012
7643332056444
oct141671635500
936811627068
1013134936896
115630369554
122666a44768
131314328613
148c8652824
1551d20824b
hex30ee73b40

13134936896 has 56 divisors (see below), whose sum is σ = 26428110720. Its totient is φ = 6476101632.

The previous prime is 13134936883. The next prime is 13134936953. The reversal of 13134936896 is 69863943131.

13134936896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131349368962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6556631 + ... + 6558633.

Almost surely, 213134936896 is an apocalyptic number.

13134936896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214055360).

13134936896 is an abundant number, since it is smaller than the sum of its proper divisors (13293173824).

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

13134936896 is a wasteful number, since it uses less digits than its factorization.

13134936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3381 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 53.

The spelling of 13134936896 in words is "thirteen billion, one hundred thirty-four million, nine hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 1297 2003 2528 2594 4006 5056 5188 8012 10376 16024 20752 32048 41504 64096 83008 102463 128192 158237 204926 316474 409852 632948 819704 1265896 1639408 2531792 2597891 3278816 5063584 5195782 6557632 10127168 10391564 20783128 41566256 83132512 166265024 205233389 410466778 820933556 1641867112 3283734224 6567468448 13134936896