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23424505110 = 23251944930509
BaseRepresentation
bin10101110100001101…
…011001010100010110
32020110111100011010100
4111310031121110112
5340433133130420
614432220234530
71456324002546
oct256415312426
966414304110
1023424505110
119a30582436
12465899ba46
132294000616
1411c3031326
15921714190
hex574359516

23424505110 has 96 divisors (see below), whose sum is σ = 64254060000. Its totient is φ = 5904396288.

The previous prime is 23424505109. The next prime is 23424505127. The reversal of 23424505110 is 1150542432.

23424505110 is a `hidden beast` number, since 2 + 3 + 42 + 4 + 505 + 110 = 666.

It is a super-2 number, since 2×234245051102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 752536 + ... + 783044.

It is an arithmetic number, because the mean of its divisors is an integer number (669313125).

Almost surely, 223424505110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23424505110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32127030000).

23424505110 is an abundant number, since it is smaller than the sum of its proper divisors (40829554890).

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

23424505110 is a wasteful number, since it uses less digits than its factorization.

23424505110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30990 (or 30987 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 23424505110 in words is "twenty-three billion, four hundred twenty-four million, five hundred five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 449 570 855 898 1347 1710 2245 2694 4041 4490 6735 8082 8531 13470 17062 20205 25593 30509 40410 42655 51186 61018 76779 85310 91527 127965 152545 153558 183054 255930 274581 305090 383895 457635 549162 579671 767790 915270 1159342 1372905 1739013 2745810 2898355 3478026 5217039 5796710 8695065 10434078 13698541 17390130 26085195 27397082 41095623 52170390 68492705 82191246 123286869 136985410 205478115 246573738 260272279 410956230 520544558 616434345 780816837 1232868690 1301361395 1561633674 2342450511 2602722790 3904084185 4684901022 7808168370 11712252555 23424505110