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24725990025 = 32521129532
BaseRepresentation
bin10111000001110010…
…001010101010001001
32100211012022102210100
4113001302022222021
5401114323140100
615205311440013
71533506306322
oct270162125211
970735272710
1024725990025
11a5391a4300
124960826009
132440838439
1412a7c1b449
1599aae9400
hex5c1c8aa89

24725990025 has 81 divisors (see below), whose sum is σ = 48730227637. Its totient is φ = 11975779200.

The previous prime is 24725989997. The next prime is 24725990071. The reversal of 24725990025 is 52009952742.

The square root of 24725990025 is 157245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1239814521 + 23486175504 = 35211^2 + 153252^2 .

It is not a de Polignac number, because 24725990025 - 215 = 24725957257 is a prime.

It is a super-2 number, since 2×247259900252 (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25944949 + ... + 25945901.

Almost surely, 224725990025 is an apocalyptic number.

24725990025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24725990025 is the 157245-th square number.

24725990025 is the 78623-rd centered octagonal number.

It is an amenable number.

24725990025 is a deficient number, since it is larger than the sum of its proper divisors (24004237612).

24725990025 is an equidigital number, since it uses as much as digits as its factorization.

24725990025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 24725990025 in words is "twenty-four billion, seven hundred twenty-five million, nine hundred ninety thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 953 1089 1815 2475 2859 3025 4765 5445 8577 9075 10483 14295 23825 27225 31449 42885 52415 71475 94347 115313 157245 214425 262075 345939 471735 576565 786225 908209 1037817 1729695 2358675 2724627 2882825 4541045 5189085 8173881 8648475 9990299 13623135 22705225 25945425 29970897 40869405 49951495 68115675 89912691 109893289 149854485 204347025 249757475 329679867 449563455 549466445 749272425 989039601 1648399335 2247817275 2747332225 4945198005 8241996675 24725990025