Search a number
-
+
100161160616616 = 2331117127291175327
BaseRepresentation
bin10110110001100010010110…
…011001100001101010101000
3111010122022110111110002222020
4112301202112121201222220
5101112020024104212431
6553005222454024440
730045255634604331
oct2661422631415250
9433568414402866
10100161160616616
1129a07122a76820
12b297aa2048120
1343b7206998058
141aa3b7c923288
15b8a64d0b8696
hex5b1896661aa8

100161160616616 has 128 divisors (see below), whose sum is σ = 289239359016960. Its totient is φ = 28566075571200.

The previous prime is 100161160616597. The next prime is 100161160616617. The reversal of 100161160616616 is 616616061161001.

It is not an unprimeable number, because it can be changed into a prime (100161160616617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571194345 + ... + 571369671.

It is an arithmetic number, because the mean of its divisors is an integer number (2259682492320).

Almost surely, 2100161160616616 is an apocalyptic number.

It is an amenable number.

100161160616616 is an abundant number, since it is smaller than the sum of its proper divisors (189078198400344).

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

100161160616616 is a wasteful number, since it uses less digits than its factorization.

100161160616616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302655 (or 302651 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 100161160616616 in words is "one hundred trillion, one hundred sixty-one billion, one hundred sixty million, six hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 127291 175327 254582 350654 381873 509164 525981 701308 763746 1018328 1051962 1400201 1402616 1527492 1928597 2103924 2163947 2800402 2980559 3054984 3857194 4200603 4207848 4327894 5600804 5785791 5961118 6491841 7714388 8401206 8655788 8941677 11201608 11571582 11922236 12983682 15428776 16802412 17311576 17883354 23143164 23803417 23844472 25967364 32786149 33604824 35766708 46286328 47606834 51934728 65572298 71410251 71533416 95213668 98358447 131144596 142820502 190427336 196716894 262289192 285641004 393433788 571282008 786867576 22317549157 44635098314 66952647471 89270196628 133905294942 178540393256 245493040727 267810589884 379398335669 490986081454 535621179768 736479122181 758796671338 981972162908 1138195007007 1472958244362 1517593342676 1963944325816 2276390014014 2945916488724 3035186685352 4173381692359 4552780028028 5891832977448 8346763384718 9105560056056 12520145077077 16693526769436 25040290154154 33387053538872 50080580308308 100161160616616