Search a number
-
+
30904400725 = 52111710761781
BaseRepresentation
bin11100110010000010…
…111011101101010101
32221202210002012221021
4130302002323231111
51001243011310400
622110340321141
72142561033442
oct346202735525
987683065837
1030904400725
1112119801750
125ba59a31b1
132bb686c863
1416d25cc9c9
15c0d22471a
hex7320bbb55

30904400725 has 48 divisors (see below), whose sum is σ = 44678765376. Its totient is φ = 20955776000.

The previous prime is 30904400707. The next prime is 30904400741. The reversal of 30904400725 is 52700440903.

It is not a de Polignac number, because 30904400725 - 221 = 30902303573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469335 + ... + 531115.

It is an arithmetic number, because the mean of its divisors is an integer number (930807612).

Almost surely, 230904400725 is an apocalyptic number.

It is an amenable number.

30904400725 is a deficient number, since it is larger than the sum of its proper divisors (13774364651).

30904400725 is a wasteful number, since it uses less digits than its factorization.

30904400725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61926 (or 61921 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 30904400725 in words is "thirty billion, nine hundred four million, four hundred thousand, seven hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 107 187 275 425 535 935 1177 1819 2675 4675 5885 9095 20009 29425 45475 61781 100045 308905 500225 679591 1050277 1544525 3397955 5251385 6610567 11553047 16989775 26256925 33052835 57765235 72716237 112379639 165264175 288826175 363581185 561898195 1236176029 1817905925 2809490975 6180880145 30904400725