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22611809142 = 232131920992423
BaseRepresentation
bin10101000011110001…
…001101001101110110
32011100212002220211200
4111003301031031312
5332302110343032
614215425313330
71430225130546
oct250361151566
964325086750
1022611809142
11965385a97a
124470795846
132194823a30
14114711d326
158c51d047c
hex543c4d376

22611809142 has 96 divisors (see below), whose sum is σ = 55587168000. Its totient is φ = 6585437376.

The previous prime is 22611809137. The next prime is 22611809159. The reversal of 22611809142 is 24190811622.

22611809142 is a `hidden beast` number, since 22 + 611 + 8 + 0 + 9 + 14 + 2 = 666.

It is a super-2 number, since 2×226118091422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22611809097 and 22611809106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9330943 + ... + 9333365.

It is an arithmetic number, because the mean of its divisors is an integer number (579033000).

Almost surely, 222611809142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22611809142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27793584000).

22611809142 is an abundant number, since it is smaller than the sum of its proper divisors (32975358858).

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

22611809142 is a wasteful number, since it uses less digits than its factorization.

22611809142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 22611809142 in words is "twenty-two billion, six hundred eleven million, eight hundred nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2099 2223 2423 4198 4446 4846 6297 7269 12594 14538 18891 21807 27287 31499 37782 39881 43614 46037 54574 62998 79762 81861 92074 94497 119643 138111 163722 188994 239286 245583 276222 283491 358929 414333 491166 518453 566982 598481 717858 828666 1036906 1196962 1555359 1795443 3110718 3590886 4666077 5085877 5386329 9332154 10171754 10772658 15257631 30515262 45772893 66116401 91545786 96631663 132232802 193263326 198349203 289894989 396698406 579789978 595047609 869684967 1190095218 1256211619 1739369934 2512423238 3768634857 7537269714 11305904571 22611809142