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25275697920 = 2833511173911
BaseRepresentation
bin10111100010100011…
…001000101100000000
32102020111200111021000
4113202203020230000
5403231034313140
615340025532000
71553232613254
oct274243105400
972214614230
1025275697920
11a7a0521a50
124a94944000
1324ca6a5995
14131ac32264
159cded0a30
hex5e28c8b00

25275697920 has 576 divisors, whose sum is σ = 103629818880. Its totient is φ = 5765529600.

The previous prime is 25275697877. The next prime is 25275697921. The reversal of 25275697920 is 2979657252.

25275697920 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 569 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25275697921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6460765 + ... + 6464675.

It is an arithmetic number, because the mean of its divisors is an integer number (179912880).

Almost surely, 225275697920 is an apocalyptic number.

25275697920 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 25275697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51814909440).

25275697920 is an abundant number, since it is smaller than the sum of its proper divisors (78354120960).

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

25275697920 is a wasteful number, since it uses less digits than its factorization.

25275697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 25275697920 in words is "twenty-five billion, two hundred seventy-five million, six hundred ninety-seven thousand, nine hundred twenty".