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56801411047700 = 225211127406595641
BaseRepresentation
bin11001110101001000110111…
…11011011010000100010100
321110010011100222222012120122
430322210123323122010110
524421113242212011300
6320450112532251112
714651523626432114
oct1472443373320424
9243104328865518
1056801411047700
111710a3857aa260
1264545b1770a98
1325904721785b7
1410052bad09044
15687805c12c85
hex33a91beda114

56801411047700 has 72 divisors (see below), whose sum is σ = 135523206626304. Its totient is φ = 20492420256000.

The previous prime is 56801411047687. The next prime is 56801411047753. The reversal of 56801411047700 is 774011410865.

56801411047700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×568014110477003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203158121 + ... + 203437520.

Almost surely, 256801411047700 is an apocalyptic number.

56801411047700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56801411047700 is an abundant number, since it is smaller than the sum of its proper divisors (78721795578604).

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

56801411047700 is a wasteful number, since it uses less digits than its factorization.

56801411047700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406595793 (or 406595786 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 56801411047700 in words is "fifty-six trillion, eight hundred one billion, four hundred eleven million, forty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 1100 1270 1397 2540 2794 3175 5588 6350 6985 12700 13970 27940 34925 69850 139700 406595641 813191282 1626382564 2032978205 4065956410 4472552051 8131912820 8945104102 10164891025 17890208204 20329782050 22362760255 40659564100 44725520510 51637646407 89451041020 103275292814 111813801275 206550585628 223627602550 258188232035 447255205100 516376464070 568014110477 1032752928140 1136028220954 1290941160175 2272056441908 2581882320350 2840070552385 5163764640700 5680141104770 11360282209540 14200352761925 28400705523850 56801411047700