Search a number
-
+
30500778304 = 2629101162709
BaseRepresentation
bin11100011001111111…
…001111000101000000
32220201122121002001201
4130121333033011000
5444431144401204
622002321310544
72126560223623
oct343177170500
986648532051
1030500778304
1111a319921a7
125ab2795454
132b51060519
141694b63dba
15bd7a979a4
hex719fcf140

30500778304 has 56 divisors (see below), whose sum is σ = 63232360200. Its totient is φ = 14578636800.

The previous prime is 30500778289. The next prime is 30500778379. The reversal of 30500778304 is 40387700503.

It can be written as a sum of positive squares in 4 ways, for example, as 16682305600 + 13818472704 = 129160^2 + 117552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106102 + ... + 268810.

Almost surely, 230500778304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30500778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31616180100).

30500778304 is an abundant number, since it is smaller than the sum of its proper divisors (32731581896).

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

30500778304 is a wasteful number, since it uses less digits than its factorization.

30500778304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162851 (or 162841 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 30500778304 in words is "thirty billion, five hundred million, seven hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 101 116 202 232 404 464 808 928 1616 1856 2929 3232 5858 6464 11716 23432 46864 93728 162709 187456 325418 650836 1301672 2603344 4718561 5206688 9437122 10413376 16433609 18874244 32867218 37748488 65734436 75496976 131468872 150993952 262937744 301987904 476574661 525875488 953149322 1051750976 1906298644 3812597288 7625194576 15250389152 30500778304