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12167915642 = 229538814493
BaseRepresentation
bin10110101010100001…
…11010100001111010
31011102000002011022022
423111100322201322
5144404441300032
65331224354442
7610350401501
oct132520724172
934360064268
1012167915642
115184520133
122437015a22
1311bbb971ac
1483604b838
154b338d512
hex2d543a87a

12167915642 has 32 divisors (see below), whose sum is σ = 19263620880. Its totient is φ = 5755509760.

The previous prime is 12167915629. The next prime is 12167915663. The reversal of 12167915642 is 24651976121.

12167915642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9646971961 + 2520943681 = 98219^2 + 50209^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12167915593 and 12167915602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705948 + ... + 2710440.

Almost surely, 212167915642 is an apocalyptic number.

12167915642 is a deficient number, since it is larger than the sum of its proper divisors (7095705238).

12167915642 is a wasteful number, since it uses less digits than its factorization.

12167915642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458.

The product of its digits is 181440, while the sum is 44.

The spelling of 12167915642 in words is "twelve billion, one hundred sixty-seven million, nine hundred fifteen thousand, six hundred forty-two".

Divisors: 1 2 29 53 58 106 881 1537 1762 3074 4493 8986 25549 46693 51098 93386 130297 238129 260594 476258 1354097 2708194 3958333 6905741 7916666 13811482 114791657 209791649 229583314 419583298 6083957821 12167915642