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23459823556 = 221324321372
BaseRepresentation
bin10101110110010100…
…000111111111000100
32020112221210111220221
4111312110013333010
5341021203323211
614435521234124
71460233132021
oct256624077704
966487714827
1023459823556
119a49505734
124668792944
13229b418300
1411c79c6548
1592488dc71
hex576507fc4

23459823556 has 81 divisors (see below), whose sum is σ = 45848208231. Its totient is φ = 10498610304.

The previous prime is 23459823553. The next prime is 23459823559. The reversal of 23459823556 is 65532895432.

The square root of 23459823556 is 153166.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (23459823553) and next prime (23459823559).

It can be written as a sum of positive squares in 4 ways, for example, as 2085383556 + 21374440000 = 45666^2 + 146200^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23459823553) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 171239520 + ... + 171239656.

Almost surely, 223459823556 is an apocalyptic number.

23459823556 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23459823556 is the 153166-th square number.

It is an amenable number.

23459823556 is a deficient number, since it is larger than the sum of its proper divisors (22388384675).

23459823556 is a wasteful number, since it uses less digits than its factorization.

23459823556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 52.

The spelling of 23459823556 in words is "twenty-three billion, four hundred fifty-nine million, eight hundred twenty-three thousand, five hundred fifty-six".

Divisors: 1 2 4 13 26 43 52 86 137 169 172 274 338 548 559 676 1118 1781 1849 2236 3562 3698 5891 7124 7267 7396 11782 14534 18769 23153 23564 24037 29068 37538 46306 48074 75076 76583 92612 96148 153166 243997 253313 306332 312481 487994 506626 624962 807067 975988 995579 1013252 1249924 1614134 1991158 3171961 3228268 3293069 3982316 6343922 6586138 10491871 12687844 13172276 20983742 34703881 41967484 42809897 69407762 85619794 136394323 138815524 171239588 272788646 451150453 545577292 902300906 1804601812 5864955889 11729911778 23459823556