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22675976480772 = 22324115363127697
BaseRepresentation
bin1010010011111101010011…
…00001011110100000000100
32222021210122210022112100100
411021332221201132200010
510433010344434341042
6120121111053044100
74530166556555556
oct511765141364004
988253583275310
1022675976480772
11725291161a99a
12266290a786630
13c86448b727b4
145857476134d6
15294cc2d3124c
hex149fa985e804

22675976480772 has 36 divisors (see below), whose sum is σ = 58717874061756. Its totient is φ = 7374301294080.

The previous prime is 22675976480771. The next prime is 22675976480849. The reversal of 22675976480772 is 27708467957622.

22675976480772 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 5 + 9 + 76 + 480 + 7 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11981663794116 + 10694312686656 = 3461454^2 + 3270216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22675976480772.

It is not an unprimeable number, because it can be changed into a prime (22675976480771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7681562373 + ... + 7681565324.

It is an arithmetic number, because the mean of its divisors is an integer number (1631052057271).

Almost surely, 222675976480772 is an apocalyptic number.

It is an amenable number.

22675976480772 is an abundant number, since it is smaller than the sum of its proper divisors (36041897580984).

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

22675976480772 is a wasteful number, since it uses less digits than its factorization.

22675976480772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363127748 (or 15363127743 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 22675976480772 in words is "twenty-two trillion, six hundred seventy-five billion, nine hundred seventy-six million, four hundred eighty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 15363127697 30726255394 46089383091 61452510788 92178766182 138268149273 184357532364 276536298546 553072597092 629888235577 1259776471154 1889664706731 2519552942308 3779329413462 5668994120193 7558658826924 11337988240386 22675976480772