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56180817076842 = 236437487119689
BaseRepresentation
bin11001100011000100111011…
…01001010010001001101010
321100220211111201221001000000
430301202131221102021222
524330431303132424332
6315253035553523430
714555634006631533
oct1461423551221152
9240824451831000
1056180817076842
11169a0172677637
126374275b73576
132546a9ca78c23
14dc324792568a
156765d2decb7c
hex33189da5226a

56180817076842 has 112 divisors (see below), whose sum is σ = 129305737566720. Its totient is φ = 18288832919616.

The previous prime is 56180817076841. The next prime is 56180817076843. The reversal of 56180817076842 is 24867071808165.

It is a happy number.

56180817076842 is a `hidden beast` number, since 5 + 618 + 0 + 8 + 1 + 7 + 0 + 7 + 6 + 8 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56180817076841) and next prime (56180817076843).

It is a self number, because there is not a number n which added to its sum of digits gives 56180817076842.

It is not an unprimeable number, because it can be changed into a prime (56180817076841) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 469330134 + ... + 469449822.

Almost surely, 256180817076842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56180817076842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64652868783360).

56180817076842 is an abundant number, since it is smaller than the sum of its proper divisors (73124920489878).

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

56180817076842 is a wasteful number, since it uses less digits than its factorization.

56180817076842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127239 (or 127224 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 56180817076842 in words is "fifty-six trillion, one hundred eighty billion, eight hundred seventeen million, seventy-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 729 774 1161 1458 2322 3483 6966 7487 10449 14974 20898 22461 31347 44922 62694 67383 119689 134766 202149 239378 321941 359067 404298 606447 643882 718134 965823 1077201 1212894 1819341 1931646 2154402 2897469 3231603 3638682 5146627 5458023 5794938 6463206 8692407 9694809 10293254 10916046 15439881 17384814 19389618 26077221 29084427 30879762 46319643 52154442 58168854 78231663 87253281 92639286 138958929 156463326 174506562 234694989 277917858 416876787 469389978 833753574 896111543 1250630361 1792223086 2501260722 2688334629 3751891083 5376669258 7503782166 8065003887 16130007774 24195011661 38532796349 48390023322 72585034983 77065592698 115598389047 145170069966 217755104949 231196778094 346795167141 435510209898 653265314847 693590334282 1040385501423 1306530629694 2080771002846 3121156504269 6242313008538 9363469512807 18726939025614 28090408538421 56180817076842