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13711542912 = 273261195121
BaseRepresentation
bin11001100010100010…
…11000101010000000
31022101120200112211200
430301101120222000
5211040123333122
610144325541200
7663533122524
oct146121305200
938346615750
1013711542912
1158a6899151
1227a7b74800
1313a6923002
14941069d84
15553b545ac
hex331458a80

13711542912 has 96 divisors (see below), whose sum is σ = 40103424660. Its totient is φ = 4495564800.

The previous prime is 13711542893. The next prime is 13711542941. The reversal of 13711542912 is 21924511731.

It is a happy number.

13711542912 is a `hidden beast` number, since 13 + 7 + 11 + 542 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13711473216 + 69696 = 117096^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27289 + ... + 167832.

Almost surely, 213711542912 is an apocalyptic number.

13711542912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13711542912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051712330).

13711542912 is an abundant number, since it is smaller than the sum of its proper divisors (26391881748).

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

13711542912 is a wasteful number, since it uses less digits than its factorization.

13711542912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195202 (or 195187 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The spelling of 13711542912 in words is "thirteen billion, seven hundred eleven million, five hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23424 35136 70272 195121 390242 585363 780484 1170726 1560968 1756089 2341452 3121936 3512178 4682904 6243872 7024356 9365808 11902381 12487744 14048712 18731616 23804762 24975488 28097424 35707143 37463232 47609524 56194848 71414286 74926464 95219048 107121429 112389696 142828572 190438096 214242858 224779392 285657144 380876192 428485716 571314288 761752384 856971432 1142628576 1523504768 1713942864 2285257152 3427885728 4570514304 6855771456 13711542912