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168181514964 = 223217797344801
BaseRepresentation
bin1001110010100001100…
…1100100001011010100
3121002002212012011121200
42130220121210023110
510223413431434324
6205132253312500
715102460201341
oct2345031441324
9532085164550
10168181514964
1165364098481
1228717795730
1312b23294338
1481d634b7c8
154594d8eec9
hex27286642d4

168181514964 has 72 divisors (see below), whose sum is σ = 450698969448. Its totient is φ = 52696473600.

The previous prime is 168181514957. The next prime is 168181514971. The reversal of 168181514964 is 469415181861.

168181514964 is a `hidden beast` number, since 1 + 68 + 1 + 8 + 1 + 514 + 9 + 64 = 666.

168181514964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168181514957) and next prime (168181514971).

It can be written as a sum of positive squares in 4 ways, for example, as 32794312464 + 135387202500 = 181092^2 + 367950^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 168181514964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315364 + ... + 660164.

It is an arithmetic number, because the mean of its divisors is an integer number (6259707909).

Almost surely, 2168181514964 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 168181514964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225349484724).

168181514964 is an abundant number, since it is smaller than the sum of its proper divisors (282517454484).

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

168181514964 is a wasteful number, since it uses less digits than its factorization.

168181514964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345625 (or 345620 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 168181514964 in words is "one hundred sixty-eight billion, one hundred eighty-one million, five hundred fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 797 1594 2391 3188 4782 7173 9564 13549 14346 27098 28692 40647 54196 81294 121941 162588 243882 344801 487764 689602 1034403 1379204 2068806 3103209 4137612 5861617 6206418 11723234 12412836 17584851 23446468 35169702 52754553 70339404 105509106 211018212 274806397 549612794 824419191 1099225588 1648838382 2473257573 3297676764 4671708749 4946515146 9343417498 9893030292 14015126247 18686834996 28030252494 42045378741 56060504988 84090757482 168181514964