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13767713172 = 22323710336121
BaseRepresentation
bin11001101001001111…
…01010000110010100
31022112111101021221200
430310213222012110
5211144013310142
610154053512500
7665114426313
oct146447520624
938474337850
1013767713172
115925573754
122802942730
1313b545ba55
149486cc27a
15558a4c64c
hex3349ea194

13767713172 has 36 divisors (see below), whose sum is σ = 35742309876. Its totient is φ = 4465203840.

The previous prime is 13767713147. The next prime is 13767713191. The reversal of 13767713172 is 27131776731.

It can be written as a sum of positive squares in 2 ways, for example, as 13141412496 + 626300676 = 114636^2 + 25026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5166729 + ... + 5169392.

It is an arithmetic number, because the mean of its divisors is an integer number (992841941).

Almost surely, 213767713172 is an apocalyptic number.

13767713172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13767713172 is an abundant number, since it is smaller than the sum of its proper divisors (21974596704).

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

13767713172 is a wasteful number, since it uses less digits than its factorization.

13767713172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336168 (or 10336163 counting only the distinct ones).

The product of its digits is 259308, while the sum is 45.

The spelling of 13767713172 in words is "thirteen billion, seven hundred sixty-seven million, seven hundred thirteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 10336121 20672242 31008363 41344484 62016726 93025089 124033452 186050178 372100356 382436477 764872954 1147309431 1529745908 2294618862 3441928293 4589237724 6883856586 13767713172