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23540025564 = 223211127468067
BaseRepresentation
bin10101111011000110…
…000100100011011100
32020202112201012101200
4111323012010203130
5341202221304224
614451504235500
71462225626066
oct257306044334
966675635350
1023540025564
119a8a804690
12468b60bb90
1322b1c19613
1411d4502736
1592b9325c9
hex57b1848dc

23540025564 has 72 divisors (see below), whose sum is σ = 65424672768. Its totient is φ = 7077157920.

The previous prime is 23540025563. The next prime is 23540025583. The reversal of 23540025564 is 46552004532.

23540025564 is a `hidden beast` number, since 2 + 3 + 540 + 0 + 2 + 55 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23540025563) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 183742 + ... + 284325.

Almost surely, 223540025564 is an apocalyptic number.

It is an amenable number.

23540025564 is an abundant number, since it is smaller than the sum of its proper divisors (41884647204).

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

23540025564 is a wasteful number, since it uses less digits than its factorization.

23540025564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468215 (or 468210 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 23540025564 in words is "twenty-three billion, five hundred forty million, twenty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 1143 1397 1524 2286 2794 4191 4572 5588 8382 12573 16764 25146 50292 468067 936134 1404201 1872268 2808402 4212603 5148737 5616804 8425206 10297474 15446211 16850412 20594948 30892422 46338633 59444509 61784844 92677266 118889018 178333527 185354532 237778036 356667054 535000581 653889599 713334108 1070001162 1307779198 1961668797 2140002324 2615558396 3923337594 5885006391 7846675188 11770012782 23540025564