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22729686656 = 271731026449
BaseRepresentation
bin10101001010110010…
…110111111010000000
32011200001220201101112
4111022302313322000
5333022244433111
614235240022452
71433156102015
oct251262677200
964601821345
1022729686656
119704352006
1244a4161a28
1321b3086841
141158a4570c
158d0716e8b
hex54acb7e80

22729686656 has 32 divisors (see below), whose sum is σ = 45543586500. Its totient is φ = 11299139584.

The previous prime is 22729686653. The next prime is 22729686659. The reversal of 22729686656 is 65668692722.

It is an interprime number because it is at equal distance from previous prime (22729686653) and next prime (22729686659).

It can be written as a sum of positive squares in 2 ways, for example, as 19660526656 + 3069160000 = 140216^2 + 55400^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 22729686595 and 22729686604.

It is not an unprimeable number, because it can be changed into a prime (22729686653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 491081 + ... + 535368.

Almost surely, 222729686656 is an apocalyptic number.

It is an amenable number.

22729686656 is an abundant number, since it is smaller than the sum of its proper divisors (22813899844).

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

22729686656 is a wasteful number, since it uses less digits than its factorization.

22729686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026636 (or 1026624 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 59.

The spelling of 22729686656 in words is "twenty-two billion, seven hundred twenty-nine million, six hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 11072 22144 1026449 2052898 4105796 8211592 16423184 32846368 65692736 131385472 177575677 355151354 710302708 1420605416 2841210832 5682421664 11364843328 22729686656