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10066612160 = 2651110926237
BaseRepresentation
bin10010110000000010…
…00100111111000000
3221222120002212211102
421120001010333000
5131104023042120
64342522233532
7504313535333
oct113001047700
927876085742
1010066612160
1142a6381790
121b4b3558a8
13c45740c57
146b6d4261a
153ddb69d75
hex258044fc0

10066612160 has 112 divisors (see below), whose sum is σ = 26391229920. Its totient is φ = 3626864640.

The previous prime is 10066612159. The next prime is 10066612217. The reversal of 10066612160 is 6121666001.

It is a congruent number.

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, 370562 + ... + 396798.

Almost surely, 210066612160 is an apocalyptic number.

10066612160 is a gapful number since it is divisible by the number (10) 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 10066612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195614960).

10066612160 is an abundant number, since it is smaller than the sum of its proper divisors (16324617760).

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

10066612160 is a wasteful number, since it uses less digits than its factorization.

10066612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26374 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

It can be divided in two parts, 10066 and 612160, that added together give a palindrome (622226).

The spelling of 10066612160 in words is "ten billion, sixty-six million, six hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 109 110 160 176 218 220 320 352 436 440 545 704 872 880 1090 1199 1744 1760 2180 2398 3488 3520 4360 4796 5995 6976 8720 9592 11990 17440 19184 23980 26237 34880 38368 47960 52474 76736 95920 104948 131185 191840 209896 262370 288607 383680 419792 524740 577214 839584 1049480 1154428 1443035 1679168 2098960 2308856 2859833 2886070 4197920 4617712 5719666 5772140 8395840 9235424 11439332 11544280 14299165 18470848 22878664 23088560 28598330 31458163 45757328 46177120 57196660 62916326 91514656 92354240 114393320 125832652 157290815 183029312 228786640 251665304 314581630 457573280 503330608 629163260 915146560 1006661216 1258326520 2013322432 2516653040 5033306080 10066612160