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25363429081 = 67223772
BaseRepresentation
bin10111100111110001…
…110011011011011001
32102110121202200210021
4113213301303123121
5403421014212311
615352442150441
71555346406244
oct274761633331
972417680707
1025363429081
11a835aa3741
124aba1b2421
132512912003
14132874c25b
159d6a60171
hex5e7c736d9

25363429081 has 9 divisors (see below), whose sum is σ = 25758474399. Its totient is φ = 24974359344.

The previous prime is 25363429067. The next prime is 25363429097. The reversal of 25363429081 is 18092436352.

The square root of 25363429081 is 159259.

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

It can be written as a sum of positive squares in only one way, i.e., 10033027225 + 15330401856 = 100165^2 + 123816^2 .

It is a de Polignac number, because none of the positive numbers 2k-25363429081 is a prime.

It is a super-3 number, since 3×253634290813 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25363429781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10669165 + ... + 10671541.

It is an arithmetic number, because the mean of its divisors is an integer number (2862052711).

Almost surely, 225363429081 is an apocalyptic number.

25363429081 is the 159259-th square number.

25363429081 is the 79630-th centered octagonal number.

It is an amenable number.

25363429081 is a deficient number, since it is larger than the sum of its proper divisors (395045318).

25363429081 is an frugal number, since it uses more digits than its factorization.

25363429081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 25363429081 in words is "twenty-five billion, three hundred sixty-three million, four hundred twenty-nine thousand, eighty-one".

Divisors: 1 67 2377 4489 159259 5650129 10670353 378558643 25363429081