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56777000980 = 225723293716433
BaseRepresentation
bin110100111000001011…
…000100100000010100
312102112212221111021011
4310320023010200110
51412234403012410
642025532102004
74046662355050
oct647013044024
9172485844234
1056777000980
1122096156207
12b006604904
13547aac818b
142a687dcc60
15172481018a
hexd382c4814

56777000980 has 192 divisors, whose sum is σ = 151077104640. Its totient is φ = 17491009536.

The previous prime is 56777000921. The next prime is 56777000983. The reversal of 56777000980 is 8900077765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56777000983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3446844 + ... + 3463276.

It is an arithmetic number, because the mean of its divisors is an integer number (786859920).

Almost surely, 256777000980 is an apocalyptic number.

56777000980 is the 119140-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56777000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75538552320).

56777000980 is an abundant number, since it is smaller than the sum of its proper divisors (94300103660).

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

56777000980 is a wasteful number, since it uses less digits than its factorization.

56777000980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16538 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 56777000980 in words is "fifty-six billion, seven hundred seventy-seven million, nine hundred eighty", and thus it is an aban number.