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25451425040 = 245832938197
BaseRepresentation
bin10111101101000001…
…011110110100010000
32102200202100100112212
4113231001132310100
5404111031100130
615405304211252
71560465354236
oct275501366420
972622310485
1025451425040
11a880736378
124b23769b28
132527c11a22
1413362d6956
159de642e95
hex5ed05ed10

25451425040 has 40 divisors (see below), whose sum is σ = 59183217240. Its totient is φ = 10179081216.

The previous prime is 25451425009. The next prime is 25451425057. The reversal of 25451425040 is 4052415452.

It can be written as a sum of positive squares in 4 ways, for example, as 20106256 + 25431318784 = 4484^2 + 159472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 25451424988 and 25451425006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647222 + ... + 685418.

It is an arithmetic number, because the mean of its divisors is an integer number (1479580431).

Almost surely, 225451425040 is an apocalyptic number.

25451425040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25451425040 is an abundant number, since it is smaller than the sum of its proper divisors (33731792200).

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

25451425040 is a wasteful number, since it uses less digits than its factorization.

25451425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46539 (or 46533 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 25451425040 in words is "twenty-five billion, four hundred fifty-one million, four hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 8329 16658 33316 38197 41645 66632 76394 83290 133264 152788 166580 190985 305576 333160 381970 611152 666320 763940 1527880 3055760 318142813 636285626 1272571252 1590714065 2545142504 3181428130 5090285008 6362856260 12725712520 25451425040