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23745269025 = 3252102732
BaseRepresentation
bin10110000111010101…
…000000110100100001
32021021211220122111100
4112013111000310201
5342112242102100
614524115305013
71500300312402
oct260725006441
967254818440
1023745269025
11a085649085
1247282ab169
1323155bb45a
14121388b9a9
1593e975400
hex587540d21

23745269025 has 27 divisors (see below), whose sum is σ = 42534555609. Its totient is φ = 12662910720.

The previous prime is 23745269017. The next prime is 23745269081. The reversal of 23745269025 is 52096254732.

The square root of 23745269025 is 154095.

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

23745269025 is a `hidden beast` number, since 2 + 37 + 4 + 526 + 90 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4197873681 + 19547395344 = 64791^2 + 139812^2 .

It is not a de Polignac number, because 23745269025 - 23 = 23745269017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2306289 + ... + 2316561.

Almost surely, 223745269025 is an apocalyptic number.

23745269025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23745269025 is the 154095-th square number.

23745269025 is the 77048-th centered octagonal number.

It is an amenable number.

23745269025 is a deficient number, since it is larger than the sum of its proper divisors (18789286584).

23745269025 is an frugal number, since it uses more digits than its factorization.

23745269025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20562 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 23745269025 in words is "twenty-three billion, seven hundred forty-five million, two hundred sixty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 10273 30819 51365 92457 154095 256825 462285 770475 2311425 105534529 316603587 527672645 949810761 1583017935 2638363225 4749053805 7915089675 23745269025