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56605150101656 = 23131078663587179
BaseRepresentation
bin11001101111011011010011…
…10111010100000010011000
321102102101210020101010212002
430313231221313110002120
524404404321411223111
6320220014051140132
714631405250060052
oct1467555167240230
9242371706333762
1056605150101656
11170441225a26a2
12642255a2a4648
132577ac56a50b0
14dd99bd6528d2
1568266ab6b63b
hex337b69dd4098

56605150101656 has 64 divisors (see below), whose sum is σ = 115380588153600. Its totient is φ = 25878259133568.

The previous prime is 56605150101641. The next prime is 56605150101683. The reversal of 56605150101656 is 65610105150665.

It is a self number, because there is not a number n which added to its sum of digits gives 56605150101656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96108275 + ... + 96695453.

It is an arithmetic number, because the mean of its divisors is an integer number (1802821689900).

Almost surely, 256605150101656 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 56605150101656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57690294076800).

56605150101656 is an abundant number, since it is smaller than the sum of its proper divisors (58775438051944).

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

56605150101656 is a wasteful number, since it uses less digits than its factorization.

56605150101656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595968 (or 595964 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 56605150101656 in words is "fifty-six trillion, six hundred five billion, one hundred fifty million, one hundred one thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2782 5564 8663 11128 17326 34652 69304 112619 225238 450476 587179 900952 926941 1174358 1853882 2348716 3707764 4697432 7415528 7633327 12050233 15266654 24100466 30533308 48200932 61066616 62828153 96401864 125656306 251312612 502625224 816765989 1633531978 3267063956 5086731677 6534127912 10173463354 20346926708 40693853416 66127511801 132255023602 264510047204 529020094408 544280289439 1088560578878 2177121157756 4354242315512 7075643762707 14151287525414 28302575050828 56605150101656