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2137791353220 = 22325192327177617
BaseRepresentation
bin11111000110111110010…
…010110101000110000100
321120101000100120211220200
4133012332102311012010
5240011144041300340
64314030543530500
7310310314452645
oct37067622650604
97511010524820
102137791353220
117546a5539a06
122a6399bb9a30
13126792688083
1475680a2d6cc
153a91ed75330
hex1f1be4b5184

2137791353220 has 144 divisors (see below), whose sum is σ = 7122710125440. Its totient is φ = 516592124928.

The previous prime is 2137791353189. The next prime is 2137791353221. The reversal of 2137791353220 is 223531977312.

2137791353220 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 7 + 91 + 3 + 532 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2137791353221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13510149 + ... + 13667468.

It is an arithmetic number, because the mean of its divisors is an integer number (49463264760).

Almost surely, 22137791353220 is an apocalyptic number.

2137791353220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137791353220 is an abundant number, since it is smaller than the sum of its proper divisors (4984918772220).

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

2137791353220 is a wasteful number, since it uses less digits than its factorization.

2137791353220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27177674 (or 27177669 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 2137791353220 in words is "two trillion, one hundred thirty-seven billion, seven hundred ninety-one million, three hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1035 1140 1311 1380 1710 1748 2070 2185 2622 3420 3933 4140 4370 5244 6555 7866 8740 13110 15732 19665 26220 39330 78660 27177617 54355234 81532851 108710468 135888085 163065702 244598553 271776170 326131404 407664255 489197106 516374723 543552340 625085191 815328510 978394212 1032749446 1222992765 1250170382 1549124169 1630657020 1875255573 2065498892 2445985530 2500340764 2581873615 3098248338 3125425955 3750511146 4647372507 4891971060 5163747230 5625766719 6196496676 6250851910 7501022292 7745620845 9294745014 9376277865 10327494460 11251533438 11876618629 12501703820 15491241690 18589490028 18752555730 22503066876 23236862535 23753237258 28128833595 30982483380 35629855887 37505111460 46473725070 47506474516 56257667190 59383093145 71259711774 92947450140 106889567661 112515334380 118766186290 142519423548 178149279435 213779135322 237532372580 356298558870 427558270644 534447838305 712597117740 1068895676610 2137791353220