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23120208592 = 241338112
BaseRepresentation
bin10101100010000100…
…100110001011010000
32012200021202021202221
4111202010212023100
5334322233133332
614342110150424
71445640346645
oct254204461320
965607667687
1023120208592
119894833a08
124592ab2414
132245c5a000
14119485ddcc
15904b57297
hex5621262d0

23120208592 has 60 divisors (see below), whose sum is σ = 48586564740. Its totient is φ = 10657707840.

The previous prime is 23120208569. The next prime is 23120208659. The reversal of 23120208592 is 29580202132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 852406416 + 22267802176 = 29196^2 + 149224^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28507867 + ... + 28508677.

It is an arithmetic number, because the mean of its divisors is an integer number (809776079).

Almost surely, 223120208592 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 23120208592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24293282370).

23120208592 is an abundant number, since it is smaller than the sum of its proper divisors (25466356148).

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

23120208592 is an frugal number, since it uses more digits than its factorization.

23120208592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 23120208592 in words is "twenty-three billion, one hundred twenty million, two hundred eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 811 1352 1622 2197 2704 3244 4394 6488 8788 10543 12976 17576 21086 35152 42172 84344 137059 168688 274118 548236 657721 1096472 1315442 1781767 2192944 2630884 3563534 5261768 7127068 8550373 10523536 14254136 17100746 28508272 34201492 68402984 111154849 136805968 222309698 444619396 889238792 1445013037 1778477584 2890026074 5780052148 11560104296 23120208592