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11967842016 = 253413355171
BaseRepresentation
bin10110010010101011…
…01100011011100000
31010220001121100220000
423021111230123200
5144002231421031
65255320220000
7602400656454
oct131125543340
933801540800
1011967842016
115091597929
1223a000a600
1311895b5530
1481764a664
154a0a1c3e6
hex2c956c6e0

11967842016 has 120 divisors (see below), whose sum is σ = 37904666184. Its totient is φ = 3682402560.

The previous prime is 11967841997. The next prime is 11967842041. The reversal of 11967842016 is 61024876911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143890 + ... + 211281.

Almost surely, 211967842016 is an apocalyptic number.

11967842016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11967842016 is an abundant number, since it is smaller than the sum of its proper divisors (25936824168).

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

11967842016 is a wasteful number, since it uses less digits than its factorization.

11967842016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355206 (or 355189 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11967842016 in words is "eleven billion, nine hundred sixty-seven million, eight hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 355171 710342 1065513 1420684 2131026 2841368 3196539 4262052 4617223 5682736 6393078 8524104 9234446 9589617 11365472 12786156 13851669 17048208 18468892 19179234 25572312 27703338 28768851 34096416 36937784 38358468 41555007 51144624 55406676 57537702 73875568 76716936 83110014 102289248 110813352 115075404 124665021 147751136 153433872 166220028 221626704 230150808 249330042 306867744 332440056 373995063 443253408 460301616 498660084 664880112 747990126 920603232 997320168 1329760224 1495980252 1994640336 2991960504 3989280672 5983921008 11967842016