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107078805684 = 22341117295873
BaseRepresentation
bin110001110111001100…
…1001110100010110100
3101020101111122221010000
41203232121032202310
53223244133240214
6121105154231300
710510340554644
oct1435631164264
9336344587100
10107078805684
1141459215634
1218904585530
13a136248266
14527b252524
152bba91d809
hex18ee64e8b4

107078805684 has 60 divisors (see below), whose sum is σ = 280176700804. Its totient is φ = 35660860416.

The previous prime is 107078805623. The next prime is 107078805733. The reversal of 107078805684 is 486508870701.

It is a happy number.

107078805684 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 78 + 8 + 0 + 568 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58577552784 + 48501252900 = 242028^2 + 220230^2 .

It is a super-2 number, since 2×1070788056842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107078805684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 213972 + ... + 509844.

Almost surely, 2107078805684 is an apocalyptic number.

It is an amenable number.

107078805684 is an abundant number, since it is smaller than the sum of its proper divisors (173097895120).

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

107078805684 is a wasteful number, since it uses less digits than its factorization.

107078805684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297006 (or 296995 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 107078805684 in words is "one hundred seven billion, seventy-eight million, eight hundred five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1117 2234 3351 4468 6702 10053 13404 20106 30159 40212 60318 90477 120636 180954 295873 361908 591746 887619 1183492 1775238 2662857 3550476 5325714 7988571 10651428 15977142 23965713 31954284 47931426 95862852 330490141 660980282 991470423 1321960564 1982940846 2974411269 3965881692 5948822538 8923233807 11897645076 17846467614 26769701421 35692935228 53539402842 107078805684