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23253613264 = 247235982619
BaseRepresentation
bin10101101010000001…
…011111101011010000
32020000120202221120201
4111222001133223100
5340110411111024
614403233344544
71452150310600
oct255201375320
966016687521
1023253613264
119953070902
12460b708154
13226779839b
1411a8468c00
15911709744
hex56a05fad0

23253613264 has 60 divisors (see below), whose sum is σ = 52556234400. Its totient is φ = 9937953984.

The previous prime is 23253613247. The next prime is 23253613297. The reversal of 23253613264 is 46231635232.

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 11 ways as a sum of consecutive naturals, for example, 240147 + ... + 322765.

It is an arithmetic number, because the mean of its divisors is an integer number (875937240).

Almost surely, 223253613264 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 23253613264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26278117200).

23253613264 is an abundant number, since it is smaller than the sum of its proper divisors (29302621136).

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

23253613264 is a wasteful number, since it uses less digits than its factorization.

23253613264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83000 (or 82987 counting only the distinct ones).

The product of its digits is 155520, while the sum is 37.

The spelling of 23253613264 in words is "twenty-three billion, two hundred fifty-three million, six hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 359 392 718 784 1436 2513 2872 5026 5744 10052 17591 20104 35182 40208 70364 82619 140728 165238 281456 330476 578333 660952 1156666 1321904 2313332 4048331 4626664 8096662 9253328 16193324 29660221 32386648 59320442 64773296 118640884 207621547 237281768 415243094 474563536 830486188 1453350829 1660972376 2906701658 3321944752 5813403316 11626806632 23253613264