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2157561986220 = 2232529819150461
BaseRepresentation
bin11111011001011000101…
…101110011110010101100
321122021001012112001210100
4133121120231303302230
5240322141332024340
64331100441111100
7311610253201254
oct37313055636254
97567035461710
102157561986220
11762020548123
122aa197188490
131285c3695894
14765d868a964
153b1ca8d5830
hex1f658b73cac

2157561986220 has 144 divisors (see below), whose sum is σ = 6771241451520. Its totient is φ = 555431385600.

The previous prime is 2157561986207. The next prime is 2157561986273. The reversal of 2157561986220 is 226891657512.

2157561986220 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 5 + 6 + 1 + 9 + 8 + 622 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42731790 + ... + 42782250.

It is an arithmetic number, because the mean of its divisors is an integer number (47022510080).

Almost surely, 22157561986220 is an apocalyptic number.

2157561986220 is a gapful number since it is divisible by the number (20) 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 2157561986220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385620725760).

2157561986220 is an abundant number, since it is smaller than the sum of its proper divisors (4613679465300).

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

2157561986220 is a wasteful number, since it uses less digits than its factorization.

2157561986220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58696 (or 58691 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2157561986220 in words is "two trillion, one hundred fifty-seven billion, five hundred sixty-one million, nine hundred eighty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 8191 16382 24573 32764 40955 49146 50461 73719 81910 98292 100922 122865 147438 151383 163820 201844 237539 245730 252305 294876 302766 368595 454149 475078 491460 504610 605532 712617 737190 756915 908298 950156 1009220 1187695 1425234 1463369 1474380 1513830 1816596 2137851 2270745 2375390 2850468 2926738 3027660 3563085 4275702 4390107 4541490 4750780 5853476 7126170 7316845 8551404 8780214 9082980 10689255 13170321 14252340 14633690 17560428 21378510 21950535 26340642 29267380 42757020 43901070 52681284 65851605 87802140 131703210 263406420 413326051 826652102 1239978153 1653304204 2066630255 2479956306 3719934459 4133260510 4959912612 6199890765 7439868918 8266521020 11986455479 12399781530 14879737836 18599672295 23972910958 24799563060 35959366437 37199344590 47945821916 59932277395 71918732874 74398689180 107878099311 119864554790 143837465748 179796832185 215756198622 239729109580 359593664370 431512397244 539390496555 719187328740 1078780993110 2157561986220