Search a number
-
+
25332324060 = 22359715312843
BaseRepresentation
bin10111100101111011…
…001001011011011100
32102101110020101201110
4113211323021123130
5403340033332220
615345411342020
71554521126121
oct274573113334
972343211643
1025332324060
11a81a48900a
124aab8b1910
132509341084
141324572748
159d3e68be0
hex5e5ec96dc

25332324060 has 96 divisors (see below), whose sum is σ = 71733779712. Its totient is φ = 6678927360.

The previous prime is 25332324029. The next prime is 25332324097. The reversal of 25332324060 is 6042323352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8908999 + ... + 8911841.

It is an arithmetic number, because the mean of its divisors is an integer number (747226872).

Almost surely, 225332324060 is an apocalyptic number.

25332324060 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 25332324060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35866889856).

25332324060 is an abundant number, since it is smaller than the sum of its proper divisors (46401455652).

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

25332324060 is a wasteful number, since it uses less digits than its factorization.

25332324060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 25332324060 in words is "twenty-five billion, three hundred thirty-two million, three hundred twenty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1531 1940 2843 2910 3062 4593 5686 5820 6124 7655 8529 9186 11372 14215 15310 17058 18372 22965 28430 30620 34116 42645 45930 56860 85290 91860 148507 170580 275771 297014 445521 551542 594028 742535 827313 891042 1103084 1378855 1485070 1654626 1782084 2227605 2757710 2970140 3309252 4136565 4352633 4455210 5515420 8273130 8705266 8910420 13057899 16546260 17410532 21763165 26115798 43526330 52231596 65289495 87052660 130578990 261157980 422205401 844410802 1266616203 1688821604 2111027005 2533232406 4222054010 5066464812 6333081015 8444108020 12666162030 25332324060