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655093928864 = 251741277106033
BaseRepresentation
bin10011000100001101010…
…01000001001110100000
32022121220121210121212002
421202012221001032200
541213113021210424
61220540200223132
765220560343224
oct11420651011640
92277817717762
10655093928864
11232907498811
12a6b6576aaa8
1349a0cb5510b
14239c7326784
1512091a1ecae
hex9886a413a0

655093928864 has 96 divisors (see below), whose sum is σ = 1403952083856. Its totient is φ = 299671879680.

The previous prime is 655093928807. The next prime is 655093928891. The reversal of 655093928864 is 468829390556.

It can be written as a sum of positive squares in 8 ways, for example, as 35378600464 + 619715328400 = 188092^2 + 787220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 655093928864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6125192 + ... + 6231224.

Almost surely, 2655093928864 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 655093928864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701976041928).

655093928864 is an abundant number, since it is smaller than the sum of its proper divisors (748858154992).

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

655093928864 is a wasteful number, since it uses less digits than its factorization.

655093928864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106378 (or 106370 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 65.

The spelling of 655093928864 in words is "six hundred fifty-five billion, ninety-three million, nine hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 277 328 544 554 656 697 1108 1312 1394 2216 2788 4432 4709 5576 8864 9418 11152 11357 18836 22304 22714 37672 45428 75344 90856 106033 150688 181712 193069 212066 363424 386138 424132 772276 848264 1544552 1696528 1802561 3089104 3393056 3605122 4347353 6178208 7210244 8694706 14420488 17389412 28840976 29371141 34778824 57681952 58742282 69557648 73905001 117484564 139115296 147810002 234969128 295620004 469938256 499309397 591240008 939876512 998618794 1182480016 1204216781 1997237588 2364960032 2408433562 3994475176 4816867124 7988950352 9633734248 15977900704 19267468496 20471685277 38534936992 40943370554 81886741108 163773482216 327546964432 655093928864