Search a number
-
+
30929895360 = 263657133147
BaseRepresentation
bin11100110011100100…
…001011111111000000
32221211120001111000000
4130303210023333000
51001321023122420
622113051000000
72143320526020
oct346344137700
987746044000
1030929895360
11121321351a1
125bb2439000
132bbbc27c40
1416d5b47a80
15c105ad690
hex73390bfc0

30929895360 has 1568 divisors, whose sum is σ = 143279603712. Its totient is φ = 6180986880.

The previous prime is 30929895349. The next prime is 30929895379. The reversal of 30929895360 is 6359892903.

30929895360 is a `hidden beast` number, since 3 + 0 + 9 + 29 + 89 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30929895297 and 30929895306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 658082857 + ... + 658082903.

Almost surely, 230929895360 is an apocalyptic number.

30929895360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30929895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71639801856).

30929895360 is an abundant number, since it is smaller than the sum of its proper divisors (112349708352).

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

30929895360 is a wasteful number, since it uses less digits than its factorization.

30929895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 30929895360 in words is "thirty billion, nine hundred twenty-nine million, eight hundred ninety-five thousand, three hundred sixty".