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22642661832 = 2337157858457
BaseRepresentation
bin10101000101100110…
…111001100111001000
32011110000011101202220
4111011212321213020
5332333010134312
614222450454040
71431051310230
oct250546714710
964400141686
1022642661832
11966a212a6a
12447ab94320
13219b036b6b
14114b270cc0
158c7c76c8c
hex5459b99c8

22642661832 has 64 divisors (see below), whose sum is σ = 65105454720. Its totient is φ = 6428118528.

The previous prime is 22642661827. The next prime is 22642661837. The reversal of 22642661832 is 23816624622.

It is an interprime number because it is at equal distance from previous prime (22642661827) and next prime (22642661837).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22642661837) 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, 402853 + ... + 455604.

It is an arithmetic number, because the mean of its divisors is an integer number (1017272730).

Almost surely, 222642661832 is an apocalyptic number.

It is an amenable number.

22642661832 is an abundant number, since it is smaller than the sum of its proper divisors (42462792888).

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

22642661832 is a wasteful number, since it uses less digits than its factorization.

22642661832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858630 (or 858626 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 22642661832 in words is "twenty-two billion, six hundred forty-two million, six hundred sixty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 6594 8792 13188 26376 858457 1716914 2575371 3433828 5150742 6009199 6867656 10301484 12018398 18027597 20602968 24036796 36055194 48073592 72110388 134777749 144220776 269555498 404333247 539110996 808666494 943444243 1078221992 1617332988 1886888486 2830332729 3234665976 3773776972 5660665458 7547553944 11321330916 22642661832