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68806065627 = 331332414813
BaseRepresentation
bin100000000010100101…
…0010011110111011011
320120121012202021211000
41000011022103313123
52111403323100002
651335320440043
74654035623265
oct1000512236733
9216535667730
1068806065627
11271a9259552
1211403019023
136646c98000
14348a224b35
151bca8c261c
hex1005293ddb

68806065627 has 64 divisors (see below), whose sum is σ = 110906857600. Its totient is φ = 42157739520.

The previous prime is 68806065617. The next prime is 68806065631. The reversal of 68806065627 is 72656060886.

68806065627 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 6 + 0 + 6 + 5 + 627 = 666.

It is not a de Polignac number, because 68806065627 - 24 = 68806065611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68806065607) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14293473 + ... + 14298285.

It is an arithmetic number, because the mean of its divisors is an integer number (1732919650).

Almost surely, 268806065627 is an apocalyptic number.

68806065627 is a deficient number, since it is larger than the sum of its proper divisors (42100791973).

68806065627 is a wasteful number, since it uses less digits than its factorization.

68806065627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 68806065627 in words is "sixty-eight billion, eight hundred six million, sixty-five thousand, six hundred twenty-seven".

Divisors: 1 3 9 13 27 39 117 169 241 351 507 723 1521 2169 2197 3133 4563 4813 6507 6591 9399 14439 19773 28197 40729 43317 59319 62569 84591 122187 129951 187707 366561 529477 563121 813397 1099683 1159933 1588431 1689363 2440191 3479799 4765293 7320573 10439397 10574161 14295879 15079129 21961719 31318191 31722483 45237387 95167449 135712161 196028677 285502347 407136483 588086031 1764258093 2548372801 5292774279 7645118403 22935355209 68806065627