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136610073664 = 264729832
BaseRepresentation
bin111111100111010011…
…0000100110001000000
3111001121120221210000221
41333032212010301000
54214234134324124
6142431403552424
712604216316101
oct1771646046100
9431546853027
10136610073664
1152a32909329
122258652b714
13cb6148541c
14687d3243a8
153848308ce4
hex1fce984c40

136610073664 has 63 divisors (see below), whose sum is σ = 277258165447. Its totient is φ = 66783730304.

The previous prime is 136610073659. The next prime is 136610073671. The reversal of 136610073664 is 466370016631.

The square root of 136610073664 is 369608.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 136610073664.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 138972117 + ... + 138973099.

Almost surely, 2136610073664 is an apocalyptic number.

136610073664 is the 369608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136610073664

136610073664 is an abundant number, since it is smaller than the sum of its proper divisors (140648091783).

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

136610073664 is an frugal number, since it uses more digits than its factorization.

136610073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 136610073664 in words is "one hundred thirty-six billion, six hundred ten million, seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 983 1504 1966 2209 3008 3932 4418 7864 8836 15728 17672 31456 35344 46201 62912 70688 92402 141376 184804 369608 739216 966289 1478432 1932578 2171447 2956864 3865156 4342894 7730312 8685788 15460624 17371576 30921248 34743152 45415583 61842496 69486304 90831166 138972608 181662332 363324664 726649328 1453298656 2134532401 2906597312 4269064802 8538129604 17076259208 34152518416 68305036832 136610073664