Search a number
-
+
65680099008656 = 24114313962436403
BaseRepresentation
bin11101110111100010101101…
…11110000110000010010000
322121112221211000202221012212
432323301112332012002100
532102100320321234111
6351405004305011252
716556142040043306
oct1673612676060220
9277487730687185
1065680099008656
1119a22856682980
1274492b0323b28
132a857b708c262
141230d10312276
1578d75416b98b
hex3bbc56f86090

65680099008656 has 80 divisors (see below), whose sum is σ = 143074268494080. Its totient is φ = 28950510879360.

The previous prime is 65680099008653. The next prime is 65680099008673.

65680099008656 is nontrivially palindromic in base 10.

65680099008656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65680099008653) 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 15 ways as a sum of consecutive naturals, for example, 30166250 + ... + 32270153.

It is an arithmetic number, because the mean of its divisors is an integer number (1788428356176).

Almost surely, 265680099008656 is an apocalyptic number.

It is an amenable number.

65680099008656 is an abundant number, since it is smaller than the sum of its proper divisors (77394169485424).

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

65680099008656 is a wasteful number, since it uses less digits than its factorization.

65680099008656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62436604 (or 62436598 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 68.

The spelling of 65680099008656 in words is "sixty-five trillion, six hundred eighty billion, ninety-nine million, eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 139 172 176 278 344 473 556 688 946 1112 1529 1892 2224 3058 3784 5977 6116 7568 11954 12232 23908 24464 47816 65747 95632 131494 262988 525976 1051952 62436403 124872806 249745612 499491224 686800433 998982448 1373600866 2684765329 2747201732 5369530658 5494403464 8678660017 10739061316 10988806928 17357320034 21478122632 29532418619 34714640068 42956245264 59064837238 69429280136 95465260187 118129674476 138858560272 190930520374 236259348952 373182380731 381861040748 472518697904 746364761462 763722081496 1492729522924 1527444162992 2985459045848 4105006188041 5970918091696 8210012376082 16420024752164 32840049504328 65680099008656