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56443517414050 = 25213372461137593
BaseRepresentation
bin11001101010101110001111…
…10011100010101010100010
321101211221120202221212111211
430311113013303202222202
524344232310424222200
6320013443253500334
714613623656642504
oct1465270763425242
9241757522855454
1056443517414050
1116a9161a112138
1263b716b9416aa
1325657a70c9340
14dd1c48d79d74
1567d35abc4aba
hex3355c7ce2aa2

56443517414050 has 144 divisors (see below), whose sum is σ = 116451893211192. Its totient is φ = 20233288857600.

The previous prime is 56443517414041. The next prime is 56443517414051. The reversal of 56443517414050 is 5041471534465.

It can be written as a sum of positive squares in 36 ways, for example, as 4764140001481 + 51679377412569 = 2182691^2 + 7188837^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56443517413985 and 56443517414003.

It is not an unprimeable number, because it can be changed into a prime (56443517414051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410152054 + ... + 410289646.

Almost surely, 256443517414050 is an apocalyptic number.

56443517414050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56443517414050 is an abundant number, since it is smaller than the sum of its proper divisors (60008375797142).

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

56443517414050 is a wasteful number, since it uses less digits than its factorization.

56443517414050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138153 (or 138111 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 49.

The spelling of 56443517414050 in words is "fifty-six trillion, four hundred forty-three billion, five hundred seventeen million, four hundred fourteen thousand, fifty".

Divisors: 1 2 5 10 13 25 26 37 50 65 74 130 185 325 370 461 481 650 922 925 962 1369 1850 2305 2405 2738 4610 4810 5993 6845 11525 11986 12025 13690 17057 17797 23050 24050 29965 34114 34225 35594 59930 68450 85285 88985 137593 149825 170570 177970 221741 275186 299650 426425 443482 444925 631109 687965 852850 889850 1108705 1262218 1375930 1788709 2217410 3155545 3439825 3577418 5090941 5543525 6311090 6879650 8204417 8943545 10181882 11087050 15777725 16408834 17887090 25454705 31555450 41022085 44717725 50909410 63430373 66182233 82044170 89435450 126860746 127273525 132364466 188364817 205110425 254547050 317151865 330911165 376729634 410220850 634303730 661822330 824594849 941824085 1585759325 1649189698 1654555825 1883648170 2346923801 2448742621 3171518650 3309111650 4122974245 4693847602 4709120425 4897485242 8245948490 9418240850 11734619005 12243713105 20614871225 23469238010 24487426210 30510009413 41229742450 58673095025 61020018826 61218565525 86836180637 117346190050 122437131050 152550047065 173672361274 305100094130 434180903185 762750235325 868361806370 1128870348281 1525500470650 2170904515925 2257740696562 4341809031850 5644351741405 11288703482810 28221758707025 56443517414050