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63900256225 = 5213238892
BaseRepresentation
bin111011100000110000…
…001000011111100001
320002221022121100110111
4323200300020133201
52021331431144400
645204432131321
74421336134051
oct734060103741
9202838540414
1063900256225
1125111035313
1210474096b41
1360447c7900
143142881561
1519ded743ba
hexee0c087e1

63900256225 has 27 divisors (see below), whose sum is σ = 85822341003. Its totient is φ = 47175747840.

The previous prime is 63900256171. The next prime is 63900256229. The reversal of 63900256225 is 52265200936.

The square root of 63900256225 is 252785.

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

It can be written as a sum of positive squares in 13 ways, for example, as 49953591009 + 13946665216 = 223503^2 + 118096^2 .

It is not a de Polignac number, because 63900256225 - 213 = 63900248033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63900256229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16429081 + ... + 16432969.

Almost surely, 263900256225 is an apocalyptic number.

63900256225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

63900256225 is the 252785-th square number.

63900256225 is the 126393-rd centered octagonal number.

It is an amenable number.

63900256225 is a deficient number, since it is larger than the sum of its proper divisors (21922084778).

63900256225 is an frugal number, since it uses more digits than its factorization.

63900256225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 63900256225 in words is "sixty-three billion, nine hundred million, two hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 3889 4225 19445 50557 97225 252785 657241 1263925 3286205 15124321 16431025 75621605 196616173 378108025 983080865 2556010249 4915404325 12780051245 63900256225