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13059601296 = 2437231689907
BaseRepresentation
bin11000010100110100…
…11011001110010000
31020201010221111001220
430022122123032100
5203221224220141
65555520325040
7641425531230
oct141232331620
936633844056
1013059601296
1155a1893825
122645773780
13130183c341
148bc641cc0
155167c6766
hex30a69b390

13059601296 has 80 divisors (see below), whose sum is σ = 40233329664. Its totient is φ = 3569081472.

The previous prime is 13059601211. The next prime is 13059601307. The reversal of 13059601296 is 69210695031.

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

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, 837226 + ... + 852681.

Almost surely, 213059601296 is an apocalyptic number.

13059601296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13059601296 is an abundant number, since it is smaller than the sum of its proper divisors (27173728368).

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

13059601296 is a wasteful number, since it uses less digits than its factorization.

13059601296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689948 (or 1689942 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 13059601296 in words is "thirteen billion, fifty-nine million, six hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 1689907 3379814 5069721 6759628 10139442 11829349 13519256 20278884 23658698 27038512 35488047 38867861 40557768 47317396 70976094 77735722 81115536 94634792 116603583 141952188 155471444 189269584 233207166 272075027 283904376 310942888 466414332 544150054 567808752 621885776 816225081 932828664 1088300108 1632450162 1865657328 2176600216 3264900324 4353200432 6529800648 13059601296