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22413102642 = 23272714
BaseRepresentation
bin10100110111111011…
…001100111000110010
32010212000012120202200
4110313323030320302
5331400223241032
614144010324030
71422263141400
oct246773147062
963760176680
1022413102642
119561680827
124416129616
132162600418
141128996470
158b2a2e47c
hex537ecce32

22413102642 has 90 divisors (see below), whose sum is σ = 57297169215. Its totient is φ = 6313550040.

The previous prime is 22413102589. The next prime is 22413102659. The reversal of 22413102642 is 24620131422.

22413102642 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 3 + 10 + 2 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11206551321 + 11206551321 = 105861^2 + 105861^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105861.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 315677467 + ... + 315677537.

Almost surely, 222413102642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22413102642

22413102642 is an abundant number, since it is smaller than the sum of its proper divisors (34884066573).

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

22413102642 is an frugal number, since it uses more digits than its factorization.

22413102642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Multiplying 22413102642 by its product of nonzero digits (4608), we get a square (103279576974336 = 101626562).

The spelling of 22413102642 in words is "twenty-two billion, four hundred thirteen million, one hundred two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 426 441 497 639 882 994 1278 1491 2982 3479 4473 5041 6958 8946 10082 10437 15123 20874 30246 31311 35287 45369 62622 70574 90738 105861 211722 247009 317583 357911 494018 635166 715822 741027 1073733 1482054 2147466 2223081 2505377 3221199 4446162 5010754 6442398 7516131 15032262 17537639 22548393 25411681 35075278 45096786 50823362 52612917 76235043 105225834 152470086 157838751 177881767 228705129 315677502 355763534 457410258 533645301 1067290602 1245172369 1600935903 2490344738 3201871806 3735517107 7471034214 11206551321 22413102642