Search a number
-
+
25080503328 = 253287085081
BaseRepresentation
bin10111010110111010…
…100001110000100000
32101201220101120121200
4113112322201300200
5402331102101303
615304414121200
71545342521646
oct272672416040
971656346550
1025080503328
11a700321401
124a3b4b0200
132499111a1a
1412dcd41196
159bbcc53a3
hex5d6ea1c20

25080503328 has 36 divisors (see below), whose sum is σ = 71322682158. Its totient is φ = 8360167680.

The previous prime is 25080503311. The next prime is 25080503339. The reversal of 25080503328 is 82330508052.

25080503328 is a `hidden beast` number, since 2 + 50 + 80 + 503 + 3 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19614562704 + 5465940624 = 140052^2 + 73932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25080503292 and 25080503301.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43542253 + ... + 43542828.

Almost surely, 225080503328 is an apocalyptic number.

It is an amenable number.

25080503328 is an abundant number, since it is smaller than the sum of its proper divisors (46242178830).

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

25080503328 is a wasteful number, since it uses less digits than its factorization.

25080503328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87085097 (or 87085086 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25080503328 in words is "twenty-five billion, eighty million, five hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 87085081 174170162 261255243 348340324 522510486 696680648 783765729 1045020972 1393361296 1567531458 2090041944 2786722592 3135062916 4180083888 6270125832 8360167776 12540251664 25080503328