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136364570568 = 23327331183423
BaseRepresentation
bin111111011111111110…
…1100011011111001000
3111000222110222221002200
41332333331203133020
54213233312224233
6142351154000200
712565145503452
oct1767775433710
9430873887080
10136364570568
1152917277206
1222518276060
13cb22658815
1468588992d2
1538319b2313
hex1fbff637c8

136364570568 has 96 divisors (see below), whose sum is σ = 375588195840. Its totient is φ = 44687496960.

The previous prime is 136364570567. The next prime is 136364570581. The reversal of 136364570568 is 865075463631.

136364570568 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 6 + 4 + 5 + 70 + 568 = 666.

It is a super-2 number, since 2×1363645705682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136364570561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1592905 + ... + 1676327.

It is an arithmetic number, because the mean of its divisors is an integer number (3912377040).

Almost surely, 2136364570568 is an apocalyptic number.

136364570568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136364570568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187794097920).

136364570568 is an abundant number, since it is smaller than the sum of its proper divisors (239223625272).

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

136364570568 is a wasteful number, since it uses less digits than its factorization.

136364570568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83819 (or 83812 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 136364570568 in words is "one hundred thirty-six billion, three hundred sixty-four million, five hundred seventy thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 311 438 584 622 657 876 933 1244 1314 1752 1866 2488 2628 2799 3732 5256 5598 7464 11196 22392 22703 45406 68109 83423 90812 136218 166846 181624 204327 250269 272436 333692 408654 500538 544872 667384 750807 817308 1001076 1501614 1634616 2002152 3003228 6006456 6089879 12179758 18269637 24359516 25944553 36539274 48719032 51889106 54808911 73078548 77833659 103778212 109617822 146157096 155667318 207556424 219235644 233500977 311334636 438471288 467001954 622669272 934003908 1868007816 1893952369 3787904738 5681857107 7575809476 11363714214 15151618952 17045571321 22727428428 34091142642 45454856856 68182285284 136364570568