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23013808576 = 2611157208217
BaseRepresentation
bin10101011011101110…
…101101100111000000
32012101212112121101121
4111123232231213000
5334113013333301
614323345442024
71443206100553
oct253356554700
965355477347
1023013808576
11983a771010
124563340314
132229bb5415
14118468469a
158ea63b3a1
hex55bbad9c0

23013808576 has 56 divisors (see below), whose sum is σ = 50137228656. Its totient is φ = 10394142720.

The previous prime is 23013808549. The next prime is 23013808619. The reversal of 23013808576 is 67580831032.

It is a super-2 number, since 2×230138085762 (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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6420 + ... + 214636.

Almost surely, 223013808576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25068614328).

23013808576 is an abundant number, since it is smaller than the sum of its proper divisors (27123420080).

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

23013808576 is a wasteful number, since it uses less digits than its factorization.

23013808576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208397 (or 208387 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 23013808576 in words is "twenty-three billion, thirteen million, eight hundred eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 157 176 314 352 628 704 1256 1727 2512 3454 5024 6908 10048 13816 27632 55264 110528 208217 416434 832868 1665736 2290387 3331472 4580774 6662944 9161548 13325888 18323096 32690069 36646192 65380138 73292384 130760276 146584768 261520552 359590759 523041104 719181518 1046082208 1438363036 2092164416 2876726072 5753452144 11506904288 23013808576