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13484129472 = 2632112128177
BaseRepresentation
bin11001000111011011…
…10111110011000000
31021210201202202020200
430203231313303000
5210103414120342
610110003405200
7655102131552
oct144355676300
937721682220
1013484129472
11579a492060
122743983800
13136b78b148
1491cb8d4d2
1553dbd294c
hex323b77cc0

13484129472 has 84 divisors (see below), whose sum is σ = 42163462536. Its totient is φ = 4086097920.

The previous prime is 13484129459. The next prime is 13484129473. The reversal of 13484129472 is 27492148431.

13484129472 is a `hidden beast` number, since 1 + 3 + 484 + 12 + 94 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (13484129473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1057753 + ... + 1070424.

Almost surely, 213484129472 is an apocalyptic number.

13484129472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13484129472 is an abundant number, since it is smaller than the sum of its proper divisors (28679333064).

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

13484129472 is a wasteful number, since it uses less digits than its factorization.

13484129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128206 (or 2128193 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 13484129472 in words is "thirteen billion, four hundred eighty-four million, one hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 2128177 4256354 6384531 8512708 12769062 17025416 19153593 23409947 25538124 34050832 38307186 46819894 51076248 68101664 70229841 76614372 93639788 102152496 136203328 140459682 153228744 187279576 204304992 210689523 280919364 306457488 374559152 408609984 421379046 561838728 612914976 749118304 842758092 1123677456 1225829952 1498236608 1685516184 2247354912 3371032368 4494709824 6742064736 13484129472