Search a number
-
+
106556517196360 = 23571161567151997
BaseRepresentation
bin11000001110100110011111…
…010110110010001001001000
3111222021200222220010211202021
4120032212133112302021020
5102431310221400240420
61014343215504414224
731305311554602250
oct3016463726621110
9458250886124667
10106556517196360
1130a52402042170
12bb4b44a017374
13475c30c65561a
141c45511d14960
15c4bba5e7b7aa
hex60e99f5b2248

106556517196360 has 128 divisors (see below), whose sum is σ = 303811982288640. Its totient is φ = 32667954969600.

The previous prime is 106556517196301. The next prime is 106556517196411. The reversal of 106556517196360 is 63691715655601.

It is a super-2 number, since 2×1065565171963602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283388119 + ... + 283763878.

It is an arithmetic number, because the mean of its divisors is an integer number (2373531111630).

Almost surely, 2106556517196360 is an apocalyptic number.

106556517196360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106556517196360 is an abundant number, since it is smaller than the sum of its proper divisors (197255465092280).

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

106556517196360 is a wasteful number, since it uses less digits than its factorization.

106556517196360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567152087 (or 567152083 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 61.

The spelling of 106556517196360 in words is "one hundred six trillion, five hundred fifty-six billion, five hundred seventeen million, one hundred ninety-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 61 70 77 88 110 122 140 154 220 244 280 305 308 385 427 440 488 610 616 671 770 854 1220 1342 1540 1708 2135 2440 2684 3080 3355 3416 4270 4697 5368 6710 8540 9394 13420 17080 18788 23485 26840 37576 46970 93940 187880 567151997 1134303994 2268607988 2835759985 3970063979 4537215976 5671519970 6238671967 7940127958 11343039940 12477343934 15880255916 19850319895 22686079880 24954687868 31193359835 31760511832 34596271817 39700639790 43670703769 49909375736 62386719670 69192543634 79401279580 87341407538 124773439340 138385087268 158802559160 172981359085 174682815076 218353518845 242173902719 249546878680 276770174536 345962718170 349365630152 380558989987 436707037690 484347805438 691925436340 761117979974 873414075380 968695610876 1210869513595 1383850872680 1522235959948 1746828150760 1902794949935 1937391221752 2421739027190 2663912929909 3044471919896 3805589899870 4843478054380 5327825859818 7611179799740 9686956108760 10655651719636 13319564649545 15222359599480 21311303439272 26639129299090 53278258598180 106556517196360