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23152441320 = 23325359179143
BaseRepresentation
bin10101100011111111…
…100011011111101000
32012202112101212202200
4111203333203133220
5334404011110240
614345221100200
71446511334631
oct254377433750
965675355680
1023152441320
119900a49928
1245a1857660
13224c834328
141198c50888
159078c2930
hex563fe37e8

23152441320 has 96 divisors (see below), whose sum is σ = 75455452800. Its totient is φ = 6156752256.

The previous prime is 23152441313. The next prime is 23152441343. The reversal of 23152441320 is 2314425132.

23152441320 is a `hidden beast` number, since 2 + 3 + 1 + 524 + 4 + 132 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39669 + ... + 218811.

It is an arithmetic number, because the mean of its divisors is an integer number (785994300).

Almost surely, 223152441320 is an apocalyptic number.

23152441320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23152441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37727726400).

23152441320 is an abundant number, since it is smaller than the sum of its proper divisors (52303011480).

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

23152441320 is a wasteful number, since it uses less digits than its factorization.

23152441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179519 (or 179512 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23152441320 its reverse (2314425132), we get a palindrome (25466866452).

The spelling of 23152441320 in words is "twenty-three billion, one hundred fifty-two million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 359 360 718 1077 1436 1795 2154 2872 3231 3590 4308 5385 6462 7180 8616 10770 12924 14360 16155 21540 25848 32310 43080 64620 129240 179143 358286 537429 716572 895715 1074858 1433144 1612287 1791430 2149716 2687145 3224574 3582860 4299432 5374290 6449148 7165720 8061435 10748580 12898296 16122870 21497160 32245740 64312337 64491480 128624674 192937011 257249348 321561685 385874022 514498696 578811033 643123370 771748044 964685055 1157622066 1286246740 1543496088 1929370110 2315244132 2572493480 2894055165 3858740220 4630488264 5788110330 7717480440 11576220660 23152441320