Search a number
-
+
25641976560 = 2435106841569
BaseRepresentation
bin10111111000011000…
…011000001011110000
32110012000220101002120
4113320120120023300
5410003321222220
615440232314240
71565301130104
oct277030301360
973160811076
1025641976560
11a969255572
124b77542980
13255853b4c5
141353739904
15a01232a40
hex5f86182f0

25641976560 has 40 divisors (see below), whose sum is σ = 79490128080. Its totient is φ = 6837860352.

The previous prime is 25641976559. The next prime is 25641976561. The reversal of 25641976560 is 6567914652.

It is an interprime number because it is at equal distance from previous prime (25641976559) and next prime (25641976561).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25641976561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53420545 + ... + 53421024.

It is an arithmetic number, because the mean of its divisors is an integer number (1987253202).

Almost surely, 225641976560 is an apocalyptic number.

25641976560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25641976560 is an abundant number, since it is smaller than the sum of its proper divisors (53848151520).

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

25641976560 is a wasteful number, since it uses less digits than its factorization.

25641976560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106841585 (or 106841579 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 25641976560 in words is "twenty-five billion, six hundred forty-one million, nine hundred seventy-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 106841569 213683138 320524707 427366276 534207845 641049414 854732552 1068415690 1282098828 1602623535 1709465104 2136831380 2564197656 3205247070 4273662760 5128395312 6410494140 8547325520 12820988280 25641976560