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12612625168 = 2411137177641
BaseRepresentation
bin10111011111100010…
…10110001100010000
31012112222212202002111
423233301112030100
5201312313001133
65443312155104
7624360354643
oct135761261420
935488782074
1012612625168
115392552a70
12253bb38a94
131260060b20
1487912da5a
154dc4341cd
hex2efc56310

12612625168 has 80 divisors (see below), whose sum is σ = 29113886592. Its totient is φ = 5217408000.

The previous prime is 12612625153. The next prime is 12612625171. The reversal of 12612625168 is 86152621621.

12612625168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12612625168.

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, 123628 + ... + 201268.

Almost surely, 212612625168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12612625168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556943296).

12612625168 is an abundant number, since it is smaller than the sum of its proper divisors (16501261424).

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

12612625168 is a wasteful number, since it uses less digits than its factorization.

12612625168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77744 (or 77738 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The spelling of 12612625168 in words is "twelve billion, six hundred twelve million, six hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 71 88 104 142 143 176 208 284 286 568 572 781 923 1136 1144 1562 1846 2288 3124 3692 6248 7384 10153 12496 14768 20306 40612 77641 81224 155282 162448 310564 621128 854051 1009333 1242256 1708102 2018666 3416204 4037332 5512511 6832408 8074664 11025022 11102663 13664816 16149328 22050044 22205326 44100088 44410652 60637621 71662643 88200176 88821304 121275242 143325286 177642608 242550484 286650572 485100968 573301144 788289073 970201936 1146602288 1576578146 3153156292 6306312584 12612625168