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25390827000 = 2335537112359
BaseRepresentation
bin10111101001011010…
…010100010111111000
32102112112022122200000
4113221122110113320
5404000022431000
615355301313000
71556131316460
oct275132242770
972475278600
1025390827000
11a84a507150
124b07405760
1325184b57b6
14132c240ba0
159d9173000
hex5e96945f8

25390827000 has 1536 divisors, whose sum is σ = 117747302400. Its totient is φ = 4961088000.

The previous prime is 25390826987. The next prime is 25390827019. The reversal of 25390827000 is 72809352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 430352971 + ... + 430353029.

It is an arithmetic number, because the mean of its divisors is an integer number (76658400).

Almost surely, 225390827000 is an apocalyptic number.

25390827000 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 25390827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58873651200).

25390827000 is an abundant number, since it is smaller than the sum of its proper divisors (92356475400).

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

25390827000 is a wasteful number, since it uses less digits than its factorization.

25390827000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 25390827000 in words is "twenty-five billion, three hundred ninety million, eight hundred twenty-seven thousand".