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22682142672 = 2437411646497
BaseRepresentation
bin10101000111111101…
…100000011111010000
32011112202110020022020
4111013331200133100
5332423112031142
614230421011440
71432041013560
oct250775403720
964482406266
1022682142672
11968a529562
124490253b80
1321a627b2c7
1411525cada0
158cb474cec
hex547f607d0

22682142672 has 80 divisors (see below), whose sum is σ = 68599692672. Its totient is φ = 6322544640.

The previous prime is 22682142661. The next prime is 22682142709. The reversal of 22682142672 is 27624128622.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809473 + ... + 837024.

Almost surely, 222682142672 is an apocalyptic number.

It is an amenable number.

22682142672 is an abundant number, since it is smaller than the sum of its proper divisors (45917550000).

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

22682142672 is a wasteful number, since it uses less digits than its factorization.

22682142672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646556 (or 1646550 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The spelling of 22682142672 in words is "twenty-two billion, six hundred eighty-two million, one hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 1646497 3292994 4939491 6585988 9878982 11525479 13171976 19757964 23050958 26343952 34576437 39515928 46101916 67506377 69152874 79031856 92203832 135012754 138305748 184407664 202519131 270025508 276611496 405038262 472544639 540051016 553222992 810076524 945089278 1080102032 1417633917 1620153048 1890178556 2835267834 3240306096 3780357112 5670535668 7560714224 11341071336 22682142672