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13031455313016 = 23327182171419337
BaseRepresentation
bin1011110110100001111101…
…0000111100110001111000
31201010210110112012222210200
42331220133100330301320
53202001410030004031
643414322401042200
72513330416346340
oct275503720746170
951123415188720
1013031455313016
114174677881a58
121565700026360
13736b266c777a
14330a2385dd20
15178ea0e2e8e6
hexbda1f43cc78

13031455313016 has 96 divisors (see below), whose sum is σ = 40337699507040. Its totient is φ = 3723065938944.

The previous prime is 13031455312979. The next prime is 13031455313119. The reversal of 13031455313016 is 61031355413031.

13031455313016 is a `hidden beast` number, since 1 + 3 + 0 + 314 + 5 + 5 + 31 + 301 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 8471700 + ... + 9891036.

It is an arithmetic number, because the mean of its divisors is an integer number (420184369865).

Almost surely, 213031455313016 is an apocalyptic number.

It is an amenable number.

13031455313016 is an abundant number, since it is smaller than the sum of its proper divisors (27306244194024).

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

13031455313016 is a wasteful number, since it uses less digits than its factorization.

13031455313016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437573 (or 1437566 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13031455313016 in words is "thirteen trillion, thirty-one billion, four hundred fifty-five million, three hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 18217 36434 54651 72868 109302 127519 145736 163953 218604 255038 327906 382557 437208 510076 655812 765114 1020152 1147671 1311624 1419337 1530228 2295342 2838674 3060456 4258011 4590684 5677348 8516022 9181368 9935359 11354696 12774033 17032044 19870718 25548066 29806077 34064088 39741436 51096132 59612154 79482872 89418231 102192264 119224308 178836462 238448616 357672924 715345848 25856062129 51712124258 77568186387 103424248516 155136372774 180992434903 206848497032 232704559161 310272745548 361984869806 465409118322 542977304709 620545491096 723969739612 930818236644 1085954609418 1447939479224 1628931914127 1861636473288 2171909218836 3257863828254 4343818437672 6515727656508 13031455313016