Search a number
-
+
25910707680 = 25345112133141
BaseRepresentation
bin11000001000011001…
…100000010111100000
32110212202120022220000
4120020121200113200
5411031120121210
615523032220000
71605043244544
oct301031402740
973782508800
1025910707680
11aa96a12200
12503153a600
13259c10b8c0
14137b2cda24
15a19b16ac0
hex6086605e0

25910707680 has 1440 divisors, whose sum is σ = 114460625664. Its totient is φ = 5474304000.

The previous prime is 25910707601. The next prime is 25910707699. The reversal of 25910707680 is 8670701952.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 631968460 + ... + 631968500.

Almost surely, 225910707680 is an apocalyptic number.

25910707680 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 25910707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57230312832).

25910707680 is an abundant number, since it is smaller than the sum of its proper divisors (88549917984).

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

25910707680 is a wasteful number, since it uses less digits than its factorization.

25910707680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 25910707680 in words is "twenty-five billion, nine hundred ten million, seven hundred seven thousand, six hundred eighty".