Search a number
-
+
30319018560 = 2632517619261
BaseRepresentation
bin11100001111001001…
…111000001001000000
32220020222120201120100
4130033021320021000
5444043132043220
621532305442400
72122222256055
oct341711701100
986228521510
1030319018560
1111949328436
125a61940400
132b224c168c
14167896d02c
15bc6b42d90
hex70f278240

30319018560 has 168 divisors, whose sum is σ = 110419368696. Its totient is φ = 7609466880.

The previous prime is 30319018553. The next prime is 30319018573. The reversal of 30319018560 is 6581091303.

It is a happy number.

30319018560 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 90 + 1 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6042885696 + 24276132864 = 77736^2 + 155808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260671 + ... + 358590.

It is an arithmetic number, because the mean of its divisors is an integer number (657258147).

Almost surely, 230319018560 is an apocalyptic number.

30319018560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30319018560 is an abundant number, since it is smaller than the sum of its proper divisors (80100350136).

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

30319018560 is a wasteful number, since it uses less digits than its factorization.

30319018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619301 (or 619288 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 30319018560 in words is "thirty billion, three hundred nineteen million, eighteen thousand, five hundred sixty".