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25331990472360 = 2332511213192294273
BaseRepresentation
bin1011100001010000100000…
…10010110010011010101000
310022200201021222020000221200
411300220100102302122220
511310014404030103420
6125513204502404200
75223114224155605
oct560502022623250
9108621258200850
1025331990472360
118087267244200
122a11614430660
131119a47a5b490
146381096896ac
152dde234beb90
hex170a104b26a8

25331990472360 has 1728 divisors, whose sum is σ = 106425643942800. Its totient is φ = 5183946915840.

The previous prime is 25331990472343. The next prime is 25331990472361. The reversal of 25331990472360 is 6327409913352.

25331990472360 is a `hidden beast` number, since 2 + 5 + 3 + 319 + 90 + 4 + 7 + 236 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4071056794596 + 21260933677764 = 2017686^2 + 4610958^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25331990472297 and 25331990472306.

It is not an unprimeable number, because it can be changed into a prime (25331990472361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5928383184 + ... + 5928387456.

Almost surely, 225331990472360 is an apocalyptic number.

25331990472360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25331990472360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53212821971400).

25331990472360 is an abundant number, since it is smaller than the sum of its proper divisors (81093653470440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25331990472360 is a wasteful number, since it uses less digits than its factorization.

25331990472360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 25331990472360 in words is "twenty-five trillion, three hundred thirty-one billion, nine hundred ninety million, four hundred seventy-two thousand, three hundred sixty".