Search a number
-
+
25428169116 = 22327389259397
BaseRepresentation
bin10111101011101000…
…110001000110011100
32102122010120211102100
4113223220301012130
5404034102402431
615403113525100
71560063604560
oct275350610634
972563524370
1025428169116
11a8695a18a9
124b17a13790
13252315b61c
1413331a16a0
159dc59c4e6
hex5eba3119c

25428169116 has 72 divisors (see below), whose sum is σ = 73648280160. Its totient is φ = 7246486656.

The previous prime is 25428169061. The next prime is 25428169157. The reversal of 25428169116 is 61196182452.

25428169116 is a `hidden beast` number, since 2 + 542 + 8 + 1 + 6 + 91 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31671 + ... + 227726.

It is an arithmetic number, because the mean of its divisors is an integer number (1022892780).

Almost surely, 225428169116 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 25428169116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36824140080).

25428169116 is an abundant number, since it is smaller than the sum of its proper divisors (48220111044).

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

25428169116 is a wasteful number, since it uses less digits than its factorization.

25428169116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259803 (or 259798 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 25428169116 in words is "twenty-five billion, four hundred twenty-eight million, one hundred sixty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 389 778 1167 1556 2334 2723 3501 4668 5446 7002 8169 10892 14004 16338 24507 32676 49014 98028 259397 518794 778191 1037588 1556382 1815779 2334573 3112764 3631558 4669146 5447337 7263116 9338292 10894674 16342011 21789348 32684022 65368044 100905433 201810866 302716299 403621732 605432598 706338031 908148897 1210865196 1412676062 1816297794 2119014093 2825352124 3632595588 4238028186 6357042279 8476056372 12714084558 25428169116