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136364462364 = 2231323278913627
BaseRepresentation
bin111111011111111110…
…1001001000100011100
3111000222110210102200010
41332333331021010130
54213233300243424
6142351151403220
712565144543134
oct1767775110434
9430873712603
10136364462364
1152917202989
1222518223510
13cb2261b4b0
14685886bac4
153831990229
hex1fbff4911c

136364462364 has 96 divisors (see below), whose sum is σ = 357712104960. Its totient is φ = 40116688128.

The previous prime is 136364462363. The next prime is 136364462441. The reversal of 136364462364 is 463264463631.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136364462363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10000119 + ... + 10013745.

It is an arithmetic number, because the mean of its divisors is an integer number (3726167760).

Almost surely, 2136364462364 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 136364462364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178856052480).

136364462364 is an abundant number, since it is smaller than the sum of its proper divisors (221347642596).

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

136364462364 is a wasteful number, since it uses less digits than its factorization.

136364462364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16459 (or 16457 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

The spelling of 136364462364 in words is "one hundred thirty-six billion, three hundred sixty-four million, four hundred sixty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 2789 3588 5578 8367 11156 13627 16734 27254 33468 36257 40881 54508 64147 72514 81762 108771 128294 145028 163524 177151 192441 217542 256588 313421 354302 384882 435084 531453 626842 708604 769764 833911 940263 1062906 1253684 1667822 1880526 2125812 2501733 3335644 3761052 4074473 5003466 8148946 10006932 12223419 16297892 24446838 38005703 48893676 76011406 114017109 152022812 228034218 456068436 494074139 874131169 988148278 1482222417 1748262338 1976296556 2622393507 2964444834 3496524676 5244787014 5928889668 10489574028 11363705197 22727410394 34091115591 45454820788 68182231182 136364462364