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25042248000 = 2632537114517
BaseRepresentation
bin10111010100101000…
…100110000101000000
32101122020102000011200
4113110220212011000
5402241303414000
615300530141200
71544366411250
oct272450460500
971566360150
1025042248000
11a690772630
124a2a721800
132491209333
1412d7c23960
159b876a500
hex5d4a26140

25042248000 has 672 divisors, whose sum is σ = 111709248768. Its totient is φ = 5202432000.

The previous prime is 25042247983. The next prime is 25042248013. The reversal of 25042248000 is 84224052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×250422480002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5541742 + ... + 5546258.

Almost surely, 225042248000 is an apocalyptic number.

25042248000 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 25042248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55854624384).

25042248000 is an abundant number, since it is smaller than the sum of its proper divisors (86667000768).

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

25042248000 is a wasteful number, since it uses less digits than its factorization.

25042248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 25042248000 in words is "twenty-five billion, forty-two million, two hundred forty-eight thousand".