Search a number
-
+
25641811312 = 2413417142349
BaseRepresentation
bin10111111000010111…
…101111110101110000
32110012000120222102021
4113320113233311300
5410003300430222
615440225001224
71565266541245
oct277027576560
973160528367
1025641811312
11a9691523a7
124b77483214
1325584b1220
1413536d55cc
15a011edac7
hex5f85efd70

25641811312 has 80 divisors (see below), whose sum is σ = 55580817600. Its totient is φ = 11383142400.

The previous prime is 25641811301. The next prime is 25641811313. The reversal of 25641811312 is 21311814652.

It is a super-2 number, since 2×256418113122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25641811313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584314 + ... + 626662.

It is an arithmetic number, because the mean of its divisors is an integer number (694760220).

Almost surely, 225641811312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25641811312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27790408800).

25641811312 is an abundant number, since it is smaller than the sum of its proper divisors (29939006288).

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

25641811312 is a wasteful number, since it uses less digits than its factorization.

25641811312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42482 (or 42476 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The spelling of 25641811312 in words is "twenty-five billion, six hundred forty-one million, eight hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 41 52 71 82 104 142 164 208 284 328 533 568 656 923 1066 1136 1846 2132 2911 3692 4264 5822 7384 8528 11644 14768 23288 37843 42349 46576 75686 84698 151372 169396 302744 338792 550537 605488 677584 1101074 1736309 2202148 3006779 3472618 4404296 6013558 6945236 8808592 12027116 13890472 22572017 24054232 27780944 39088127 45144034 48108464 78176254 90288068 123277939 156352508 180576136 246555878 312705016 361152272 493111756 625410032 986223512 1602613207 1972447024 3205226414 6410452828 12820905656 25641811312