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25470036480 = 293571729312
BaseRepresentation
bin10111101110001000…
…011110101000000000
32102202001100220122110
4113232020132220000
5404130312131410
615411211135320
71561112511060
oct275610365000
972661326573
1025470036480
11a890198429
124b29a44540
13252ba2a105
14133897d3a0
159e10bc720
hex5ee21ea00

25470036480 has 960 divisors, whose sum is σ = 105322187520. Its totient is φ = 5119672320.

The previous prime is 25470036439. The next prime is 25470036481. The reversal of 25470036480 is 8463007452.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25470036481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821614065 + ... + 821614095.

It is an arithmetic number, because the mean of its divisors is an integer number (109710612).

Almost surely, 225470036480 is an apocalyptic number.

25470036480 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 25470036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52661093760).

25470036480 is an abundant number, since it is smaller than the sum of its proper divisors (79852151040).

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

25470036480 is a wasteful number, since it uses less digits than its factorization.

25470036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 25470036480 in words is "twenty-five billion, four hundred seventy million, thirty-six thousand, four hundred eighty".