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56779923411804 = 223173135711155707
BaseRepresentation
bin11001110100100000110110…
…01010100101001101011100
321110001002220111012012112010
430322100123022211031130
524420240240343134204
6320432200421511220
714650133301514245
oct1472203312451534
9243032814165463
1056779923411804
111710125957538a
1264503b5572510
13258b42951a348
14100423d21bccc
15686e99590d89
hex33a41b2a535c

56779923411804 has 96 divisors (see below), whose sum is σ = 140753534616576. Its totient is φ = 17753174599680.

The previous prime is 56779923411797. The next prime is 56779923411811. The reversal of 56779923411804 is 40811432997765.

It is an interprime number because it is at equal distance from previous prime (56779923411797) and next prime (56779923411811).

It is a congruent number.

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, 364580919 + ... + 364736625.

It is an arithmetic number, because the mean of its divisors is an integer number (1466182652256).

It is a 1-persistent number, because it is pandigital, but 2⋅56779923411804 = 113559846823608 is not.

Almost surely, 256779923411804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56779923411804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70376767308288).

56779923411804 is an abundant number, since it is smaller than the sum of its proper divisors (83973611204772).

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

56779923411804 is a wasteful number, since it uses less digits than its factorization.

56779923411804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161755 (or 161753 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 56779923411804 in words is "fifty-six trillion, seven hundred seventy-nine billion, nine hundred twenty-three million, four hundred eleven thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 313 626 939 1252 1878 3756 5321 5711 10642 11422 15963 17133 21284 22844 31926 34266 63852 68532 97087 155707 194174 291261 311414 388348 467121 582522 622828 934242 1165044 1787543 1868484 2647019 3575086 5294038 5362629 7150172 7941057 10588076 10725258 15882114 21450516 30388231 31764228 48736291 60776462 91164693 97472582 121552924 146208873 182329386 194945164 292417746 364658772 584835492 828516947 889242677 1657033894 1778485354 2485550841 2667728031 3314067788 3556970708 4971101682 5335456062 9942203364 10670912124 15117125509 30234251018 45351376527 60468502036 90702753054 181405506108 278332957901 556665915802 834998873703 1113331831604 1669997747406 3339995494812 4731660284317 9463320568634 14194980852951 18926641137268 28389961705902 56779923411804