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56706522120 = 2334517502013
BaseRepresentation
bin110100110011111110…
…001101110000001000
312102100222022210110000
4310303332031300020
51412113332201440
642014533323000
74045145325243
oct646376156010
9172328283400
1056706522120
112205a398416
12aba6a96460
13546931c701
142a5d2d425a
15171d53c730
hexd33f8dc08

56706522120 has 80 divisors (see below), whose sum is σ = 190596932460. Its totient is φ = 15121738368.

The previous prime is 56706522097. The next prime is 56706522121. The reversal of 56706522120 is 2122560765.

56706522120 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 6 + 522 + 120 = 666.

56706522120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56702086884 + 4435236 = 238122^2 + 2106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56706522121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8747767 + ... + 8754246.

Almost surely, 256706522120 is an apocalyptic number.

It is an amenable number.

56706522120 is an abundant number, since it is smaller than the sum of its proper divisors (133890410340).

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

56706522120 is a wasteful number, since it uses less digits than its factorization.

56706522120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17502036 (or 17502023 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 56706522120 in words is "fifty-six billion, seven hundred six million, five hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 17502013 35004026 52506039 70008052 87510065 105012078 140016104 157518117 175020130 210024156 262530195 315036234 350040260 420048312 472554351 525060390 630072468 700080520 787590585 945108702 1050120780 1260144936 1417663053 1575181170 1890217404 2100241560 2362771755 2835326106 3150362340 3780434808 4725543510 5670652212 6300724680 7088315265 9451087020 11341304424 14176630530 18902174040 28353261060 56706522120