Search a number
-
+
25557229440 = 27325137139233
BaseRepresentation
bin10111110011010101…
…000101111110000000
32102222010102202220100
4113303111011332000
5404320122320230
615424004042400
71563221603001
oct276325057600
972863382810
1025557229440
11a925431826
124b53093400
132543b08492
1413463991a8
159e8a92660
hex5f3545f80

25557229440 has 384 divisors, whose sum is σ = 89920303200. Its totient is φ = 6688014336.

The previous prime is 25557229349. The next prime is 25557229471. The reversal of 25557229440 is 4492275552.

25557229440 is a `hidden beast` number, since 2 + 5 + 557 + 2 + 2 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109687564 + ... + 109687796.

Almost surely, 225557229440 is an apocalyptic number.

25557229440 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 25557229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44960151600).

25557229440 is an abundant number, since it is smaller than the sum of its proper divisors (64363073760).

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

25557229440 is a wasteful number, since it uses less digits than its factorization.

25557229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 25557229440 in words is "twenty-five billion, five hundred fifty-seven million, two hundred twenty-nine thousand, four hundred forty".