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56780752820 = 22511313031637
BaseRepresentation
bin110100111000011001…
…011000011110110100
312102120011000002211012
4310320121120132310
51412241333042240
642030144331352
74050036302261
oct647031303664
9172504002735
1056780752820
1122098289000
12b007913b58
13547b80cabc
142a690d8268
151724d01b65
hexd386587b4

56780752820 has 96 divisors (see below), whose sum is σ = 131335416576. Its totient is φ = 20619096960.

The previous prime is 56780752813. The next prime is 56780752829. The reversal of 56780752820 is 2825708765.

It is a happy number.

56780752820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56780752829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34685042 + ... + 34686678.

It is an arithmetic number, because the mean of its divisors is an integer number (1368077256).

Almost surely, 256780752820 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 56780752820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65667708288).

56780752820 is an abundant number, since it is smaller than the sum of its proper divisors (74554663756).

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

56780752820 is a wasteful number, since it uses less digits than its factorization.

56780752820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 56780752820 in words is "fifty-six billion, seven hundred eighty million, seven hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1303 1331 1637 2420 2606 2662 3274 5212 5324 6515 6548 6655 8185 13030 13310 14333 16370 18007 26060 26620 28666 32740 36014 57332 71665 72028 90035 143330 157663 180070 198077 286660 315326 360140 396154 630652 788315 792308 990385 1576630 1734293 1980770 2133011 2178847 3153260 3468586 3961540 4266022 4357694 6937172 8532044 8671465 8715388 10665055 10894235 17342930 21330110 21788470 23463121 34685860 42660220 43576940 46926242 93852484 117315605 234631210 258094331 469262420 516188662 1032377324 1290471655 2580943310 2839037641 5161886620 5678075282 11356150564 14195188205 28390376410 56780752820