Search a number
-
+
25028925984 = 253286905993
BaseRepresentation
bin10111010011110101…
…110001101000100000
32101121022100011210200
4113103311301220200
5402224401112414
615255332425200
71544145234456
oct272365615040
971538304720
1025028925984
11a6841a35a7
124a26178200
13248b52369a
1412d61569d6
159b74d8109
hex5d3d71a20

25028925984 has 36 divisors (see below), whose sum is σ = 71176009086. Its totient is φ = 8342975232.

The previous prime is 25028925931. The next prime is 25028926003. The reversal of 25028925984 is 48952982052.

It is a happy number.

25028925984 is a `hidden beast` number, since 2 + 502 + 8 + 9 + 2 + 59 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24995610000 + 33315984 = 158100^2 + 5772^2 .

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25028925984.

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 5 ways as a sum of consecutive naturals, for example, 43452709 + ... + 43453284.

Almost surely, 225028925984 is an apocalyptic number.

25028925984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25028925984 is an abundant number, since it is smaller than the sum of its proper divisors (46147083102).

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

25028925984 is a wasteful number, since it uses less digits than its factorization.

25028925984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86906009 (or 86905998 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 25028925984 in words is "twenty-five billion, twenty-eight million, nine hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 86905993 173811986 260717979 347623972 521435958 695247944 782153937 1042871916 1390495888 1564307874 2085743832 2780991776 3128615748 4171487664 6257231496 8342975328 12514462992 25028925984