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13127205696 = 263116215533
BaseRepresentation
bin11000011100111000…
…10100001101000000
31020212212011010212120
430032130110031000
5203341031040241
610010333324240
7643206256503
oct141634241500
936785133776
1013127205696
115626a68a30
122664336680
13131284c647
148c75dd13a
1551c6cc666
hex30e714340

13127205696 has 56 divisors (see below), whose sum is σ = 37889895264. Its totient is φ = 3977940480.

The previous prime is 13127205683. The next prime is 13127205727. The reversal of 13127205696 is 69650272131.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3105655 + ... + 3109878.

Almost surely, 213127205696 is an apocalyptic number.

13127205696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13127205696 is an abundant number, since it is smaller than the sum of its proper divisors (24762689568).

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

13127205696 is a wasteful number, since it uses less digits than its factorization.

13127205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6215559 (or 6215549 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 13127205696 in words is "thirteen billion, one hundred twenty-seven million, two hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 6215533 12431066 18646599 24862132 37293198 49724264 68370863 74586396 99448528 136741726 149172792 198897056 205112589 273483452 298345584 397794112 410225178 546966904 596691168 820450356 1093933808 1193382336 1640900712 2187867616 3281801424 4375735232 6563602848 13127205696