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25523623472281 = 112372124132
BaseRepresentation
bin1011100110110101011101…
…00000101010110010011001
310100101000221012112002002021
411303122232200222302121
511321134340102103111
6130141220222534441
75243010116612434
oct563325640526231
9110330835462067
1025523623472281
118150565061400
122a42795a37421
131131b377ab51c
146434c844c81b
152e3ddc102d71
hex1736ae82ac99

25523623472281 has 27 divisors (see below), whose sum is σ = 28835948263773. Its totient is φ = 22574359257120.

The previous prime is 25523623472213. The next prime is 25523623472293. The reversal of 25523623472281 is 18227432632552.

The square root of 25523623472281 is 5052091.

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 1549673929881 + 23973949542400 = 1244859^2 + 4896320^2 .

It is not a de Polignac number, because 25523623472281 - 225 = 25523589917849 is a prime.

It is a super-2 number, since 2×255236234722812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25523623452281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2056194831 + ... + 2056207243.

Almost surely, 225523623472281 is an apocalyptic number.

25523623472281 is the 5052091-st square number.

25523623472281 is the 2526046-th centered octagonal number.

It is an amenable number.

25523623472281 is a deficient number, since it is larger than the sum of its proper divisors (3312324791492).

25523623472281 is an frugal number, since it uses more digits than its factorization.

25523623472281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24922 (or 12461 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 52.

The spelling of 25523623472281 in words is "twenty-five trillion, five hundred twenty-three billion, six hundred twenty-three million, four hundred seventy-two thousand, two hundred eighty-one".

Divisors: 1 11 37 121 407 1369 4477 12413 15059 136543 165649 459281 1501973 5052091 16993397 55573001 154082569 186927367 1694908259 2056201037 5701055053 18643990849 62711605583 210939036961 689827661413 2320329406571 25523623472281