Search a number
-
+
25940113920 = 29355722337
BaseRepresentation
bin11000001010001001…
…101011101000000000
32110221210220022200000
4120022021223220000
5411111132121140
615530002400000
71605551221200
oct301211535000
973853808600
1025940113920
1110001577586
12503b360000
1325a5236546
141381186400
15a1c4c4a30
hex60a26ba00

25940113920 has 1440 divisors, whose sum is σ = 116144316288. Its totient is φ = 5518098432.

The previous prime is 25940113891. The next prime is 25940113921. The reversal of 25940113920 is 2931104952.

25940113920 is a `hidden beast` number, since 2 + 594 + 0 + 11 + 39 + 20 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25940113921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 701084142 + ... + 701084178.

Almost surely, 225940113920 is an apocalyptic number.

25940113920 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 25940113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58072158144).

25940113920 is an abundant number, since it is smaller than the sum of its proper divisors (90204202368).

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

25940113920 is an equidigital number, since it uses as much as digits as its factorization.

25940113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 25940113920 in words is "twenty-five billion, nine hundred forty million, one hundred thirteen thousand, nine hundred twenty".