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13756388816 = 241979572801
BaseRepresentation
bin11001100111111000…
…11101010111010000
31022111201001221212002
430303330131113100
5211133113420231
610153011053132
7664616242562
oct146374352720
938451057762
1013756388816
11591a139585
1227baba11a8
1313b2cc5451
14946dc1332
15557a620cb
hex333f1d5d0

13756388816 has 40 divisors (see below), whose sum is σ = 28410979200. Its totient is φ = 6433689600.

The previous prime is 13756388801. The next prime is 13756388837. The reversal of 13756388816 is 61888365731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262385 + ... + 310416.

It is an arithmetic number, because the mean of its divisors is an integer number (710274480).

Almost surely, 213756388816 is an apocalyptic number.

13756388816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13756388816 is an abundant number, since it is smaller than the sum of its proper divisors (14654590384).

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

13756388816 is a wasteful number, since it uses less digits than its factorization.

13756388816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572907 (or 572901 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 56.

The spelling of 13756388816 in words is "thirteen billion, seven hundred fifty-six million, three hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1264 1501 3002 6004 12008 24016 572801 1145602 2291204 4582408 9164816 10883219 21766438 43532876 45251279 87065752 90502558 174131504 181005116 362010232 724020464 859774301 1719548602 3439097204 6878194408 13756388816