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22395871648 = 2553157241349
BaseRepresentation
bin10100110110111001…
…011110000110100000
32010210210210011021201
4110312321132012200
5331331320343043
614142153130544
71421663524303
oct246671360640
963723704251
1022395871648
119552981937
1244103b9a54
13215bb79477
14112658cb3a
158b1278c4d
hex536e5e1a0

22395871648 has 96 divisors (see below), whose sum is σ = 45527605200. Its totient is φ = 10840227840.

The previous prime is 22395871637. The next prime is 22395871649. The reversal of 22395871648 is 84617859322.

It can be written as a sum of positive squares in 8 ways, for example, as 16793049744 + 5602821904 = 129588^2 + 74852^2 .

Its product of digits (5806080) is a multiple of the sum of its prime factors (810).

It is not an unprimeable number, because it can be changed into a prime (22395871649) 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 15 ways as a sum of consecutive naturals, for example, 64171378 + ... + 64171726.

Almost surely, 222395871648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22395871648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763802600).

22395871648 is an abundant number, since it is smaller than the sum of its proper divisors (23131733552).

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

22395871648 is a wasteful number, since it uses less digits than its factorization.

22395871648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 22395871648 in words is "twenty-two billion, three hundred ninety-five million, eight hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 106 157 212 241 314 349 424 482 628 698 848 964 1256 1396 1696 1928 2512 2792 3856 5024 5584 7712 8321 11168 12773 16642 18497 25546 33284 36994 37837 51092 54793 66568 73988 75674 84109 102184 109586 133136 147976 151348 168218 204368 219172 266272 295952 302696 336436 408736 438344 591904 605392 672872 876688 1210784 1345744 1753376 2005361 2691488 2904029 4010722 4457777 5808058 8021444 8915554 11616116 13205113 16042888 17831108 23232232 26410226 32085776 35662216 46464464 52820452 64171552 71324432 92928928 105640904 142648864 211281808 422563616 699870989 1399741978 2799483956 5598967912 11197935824 22395871648