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22130564624136 = 2332461666743933
BaseRepresentation
bin1010000100000101011000…
…11100010110111100001000
32220100122212002200110221200
411002002230130112330020
510400041344020433021
6115022350244104200
74442611010354553
oct502025434267410
986318762613850
1022130564624136
117062579873471
122595075395060
13c46b986b0647
145671a719169a
15285a00558126
hex1420ac716f08

22130564624136 has 48 divisors (see below), whose sum is σ = 60066961014060. Its totient is φ = 7360853009280.

The previous prime is 22130564624107. The next prime is 22130564624143. The reversal of 22130564624136 is 63142646503122.

22130564624136 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 5 + 6 + 4 + 624 + 13 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20493674676036 + 1636889948100 = 4526994^2 + 1279410^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22130564624091 and 22130564624100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333338775 + ... + 333405158.

Almost surely, 222130564624136 is an apocalyptic number.

It is an amenable number.

22130564624136 is an abundant number, since it is smaller than the sum of its proper divisors (37936396389924).

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

22130564624136 is a wasteful number, since it uses less digits than its factorization.

22130564624136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666744406 (or 666744399 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 22130564624136 in words is "twenty-two trillion, one hundred thirty billion, five hundred sixty-four million, six hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 461 922 1383 1844 2766 3688 4149 5532 8298 11064 16596 33192 666743933 1333487866 2000231799 2666975732 4000463598 5333951464 6000695397 8000927196 12001390794 16001854392 24002781588 48005563176 307368953113 614737906226 922106859339 1229475812452 1844213718678 2458951624904 2766320578017 3688427437356 5532641156034 7376854874712 11065282312068 22130564624136