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22647842064 = 2432125412
BaseRepresentation
bin10101000101111010…
…101010010100010000
32011110100220120201100
4111011322222110100
5332340321421224
614223153504400
71431143324031
oct250572522420
964410816640
1022647842064
119672130a51
124480872100
13219c12b9a3
14114bc1ca88
158c844bac9
hex545eaa510

22647842064 has 45 divisors (see below), whose sum is σ = 63387556869. Its totient is φ = 7548678720.

The previous prime is 22647842057. The next prime is 22647842089. The reversal of 22647842064 is 46024874622.

The square root of 22647842064 is 150492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19574248464 + 3073593600 = 139908^2 + 55440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1799634 + ... + 1812174.

Almost surely, 222647842064 is an apocalyptic number.

22647842064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22647842064 is the 150492-nd square number.

It is an amenable number.

22647842064 is an abundant number, since it is smaller than the sum of its proper divisors (40739714805).

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

22647842064 is an frugal number, since it uses more digits than its factorization.

22647842064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25096 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 22647842064 in words is "twenty-two billion, six hundred forty-seven million, eight hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12541 25082 37623 50164 75246 100328 112869 150492 200656 225738 300984 451476 601968 902952 1805904 157276681 314553362 471830043 629106724 943660086 1258213448 1415490129 1887320172 2516426896 2830980258 3774640344 5661960516 7549280688 11323921032 22647842064