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13381886112 = 253738515171
BaseRepresentation
bin11000111011001111…
…10110000010100000
31021112121101020201120
430131213312002200
5204401230323422
610051512132240
7652421104140
oct143547660240
937477336646
1013381886112
1157477a9111
122715697080
13135354050a
1490d376920
15534c3845c
hex31d9f60a0

13381886112 has 96 divisors (see below), whose sum is σ = 40163848704. Its totient is φ = 3821664000.

The previous prime is 13381886083. The next prime is 13381886131. The reversal of 13381886112 is 21168818331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2585287 + ... + 2590457.

It is an arithmetic number, because the mean of its divisors is an integer number (418373424).

Almost surely, 213381886112 is an apocalyptic number.

13381886112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13381886112 is an abundant number, since it is smaller than the sum of its proper divisors (26781962592).

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

13381886112 is a wasteful number, since it uses less digits than its factorization.

13381886112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9034 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The spelling of 13381886112 in words is "thirteen billion, three hundred eighty-one million, eight hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3851 5171 7702 10342 11553 15404 15513 20684 23106 26957 30808 31026 36197 41368 46212 53914 61616 62052 72394 80871 82736 92424 107828 108591 123232 124104 144788 161742 165472 184848 215656 217182 248208 289576 323484 369696 431312 434364 496416 579152 646968 862624 868728 1158304 1293936 1737456 2587872 3474912 19913521 39827042 59740563 79654084 119481126 139394647 159308168 238962252 278789294 318616336 418183941 477924504 557578588 637232672 836367882 955849008 1115157176 1672735764 1911698016 2230314352 3345471528 4460628704 6690943056 13381886112