Search a number
-
+
25560530740224 = 210342314989923
BaseRepresentation
bin1011100111111010001100…
…10110101110010000000000
310100111120012100001112210000
411303331012112232100000
511322240431332141344
6130210202401440000
75245454531325624
oct563750626562000
9110446170045700
1025560530740224
118165184272037
122a49976040000
131135469babbcc
146451c9d95184
152e4d4c329a69
hex173f465ae400

25560530740224 has 440 divisors, whose sum is σ = 80182820836800. Its totient is φ = 8094948212736.

The previous prime is 25560530740093. The next prime is 25560530740237. The reversal of 25560530740224 is 42204703506552.

25560530740224 is a `hidden beast` number, since 2 + 5 + 5 + 605 + 30 + 7 + 4 + 0 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25560530740224.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284204127 + ... + 284294049.

It is an arithmetic number, because the mean of its divisors is an integer number (182233683720).

Almost surely, 225560530740224 is an apocalyptic number.

25560530740224 is a gapful number since it is divisible by the number (24) 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 25560530740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40091410418400).

25560530740224 is an abundant number, since it is smaller than the sum of its proper divisors (54622290096576).

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

25560530740224 is a wasteful number, since it uses less digits than its factorization.

25560530740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90127 (or 90100 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 25560530740224 in words is "twenty-five trillion, five hundred sixty billion, five hundred thirty million, seven hundred forty thousand, two hundred twenty-four".