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25374238848 = 2737723563
BaseRepresentation
bin10111101000011011…
…000010100010000000
32102111101002220000000
4113220123002202000
5403431301120343
615353510000000
71555540320510
oct275033024200
972441086000
1025374238848
11a841107232
124b01946000
132514c2831a
141329d63840
159d7997ed3
hex5e86c2880

25374238848 has 512 divisors, whose sum is σ = 90572083200. Its totient is φ = 6922257408.

The previous prime is 25374238847. The next prime is 25374238889. The reversal of 25374238848 is 84883247352.

25374238848 is a `hidden beast` number, since 2 + 537 + 4 + 23 + 8 + 84 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 25374238794 and 25374238803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25374238847) 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, 45069415 + ... + 45069977.

It is an arithmetic number, because the mean of its divisors is an integer number (176898600).

Almost surely, 225374238848 is an apocalyptic number.

25374238848 is a gapful number since it is divisible by the number (28) 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 25374238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45286041600).

25374238848 is an abundant number, since it is smaller than the sum of its proper divisors (65197844352).

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

25374238848 is an frugal number, since it uses more digits than its factorization.

25374238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 598 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 25374238848 in words is "twenty-five billion, three hundred seventy-four million, two hundred thirty-eight thousand, eight hundred forty-eight".