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25609328140 = 22511289118903
BaseRepresentation
bin10111110110011011…
…110101011000001100
32110002202110122212211
4113312123311120030
5404421442000030
615433104440204
71564423461154
oct276633653014
973082418784
1025609328140
11a951886300
124b68619064
132551849c06
14134d27b764
159ed43412a
hex5f66f560c

25609328140 has 72 divisors (see below), whose sum is σ = 59777796960. Its totient is φ = 9207770880.

The previous prime is 25609328123. The next prime is 25609328141. The reversal of 25609328140 is 4182390652.

It is a junction number, because it is equal to n+sod(n) for n = 25609328093 and 25609328102.

It is not an unprimeable number, because it can be changed into a prime (25609328141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155929 + ... + 274831.

It is an arithmetic number, because the mean of its divisors is an integer number (830247180).

Almost surely, 225609328140 is an apocalyptic number.

25609328140 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 25609328140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29888898480).

25609328140 is an abundant number, since it is smaller than the sum of its proper divisors (34168468820).

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

25609328140 is a wasteful number, since it uses less digits than its factorization.

25609328140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119023 (or 119010 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 25609328140 in words is "twenty-five billion, six hundred nine million, three hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 121 178 220 242 356 445 484 605 890 979 1210 1780 1958 2420 3916 4895 9790 10769 19580 21538 43076 53845 107690 118903 215380 237806 475612 594515 1189030 1307933 2378060 2615866 5231732 6539665 10582367 13079330 14387263 21164734 26158660 28774526 42329468 52911835 57549052 71936315 105823670 116406037 143872630 211647340 232812074 287745260 465624148 582030185 1164060370 1280466407 2328120740 2560932814 5121865628 6402332035 12804664070 25609328140