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72826565130 = 23351124520729
BaseRepresentation
bin100001111010011001…
…1010011001000001010
320221222102000211022000
41003310303103020022
52143122100041010
653242302011430
75155465406214
oct1036463231012
9227872024260
1072826565130
1128981774310
1212145576b76
136b37c162b7
14374c1935b4
151d638467c0
hex10f4cd320a

72826565130 has 64 divisors (see below), whose sum is σ = 211859107200. Its totient is φ = 17654924160.

The previous prime is 72826565117. The next prime is 72826565173. The reversal of 72826565130 is 3156562827.

72826565130 is a `hidden beast` number, since 7 + 2 + 82 + 6 + 56 + 513 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12257395 + ... + 12263334.

It is an arithmetic number, because the mean of its divisors is an integer number (3310298550).

Almost surely, 272826565130 is an apocalyptic number.

72826565130 is an abundant number, since it is smaller than the sum of its proper divisors (139032542070).

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

72826565130 is a wasteful number, since it uses less digits than its factorization.

72826565130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24520756 (or 24520750 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 72826565130 in words is "seventy-two billion, eight hundred twenty-six million, five hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 24520729 49041458 73562187 122603645 147124374 220686561 245207290 269728019 367810935 441373122 539456038 662059683 735621870 809184057 1103432805 1324119366 1348640095 1618368114 2206865610 2427552171 2697280190 3310298415 4045920285 4855104342 6620596830 7282656513 8091840570 12137760855 14565313026 24275521710 36413282565 72826565130