Search a number
-
+
30751574016 = 2113291071613
BaseRepresentation
bin11100101000111011…
…111100100000000000
32221101010111211002210
4130220323330200000
51000434400332031
622043240542120
72136024031512
oct345073744000
987333454083
1030751574016
1112050509789
125b62781940
132b90cc1157
1416ba1a9bb2
15beead7746
hex728efc800

30751574016 has 192 divisors, whose sum is σ = 85656916800. Its totient is φ = 9798483968.

The previous prime is 30751573991. The next prime is 30751574033. The reversal of 30751574016 is 61047515703.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19064026 + ... + 19065638.

It is an arithmetic number, because the mean of its divisors is an integer number (446129775).

Almost surely, 230751574016 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 30751574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42828458400).

30751574016 is an abundant number, since it is smaller than the sum of its proper divisors (54905342784).

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

30751574016 is a wasteful number, since it uses less digits than its factorization.

30751574016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 30751574016 in words is "thirty billion, seven hundred fifty-one million, five hundred seventy-four thousand, sixteen".