Search a number
-
+
30051196560 = 24335711281643
BaseRepresentation
bin11011111111001100…
…001101111010010000
32212120022121221212000
4123333030031322100
5443021101242220
621445541234000
72112460645650
oct337714157220
985508557760
1030051196560
1111821131840
1259a8102900
132aabb7c018
141651174360
15bad38d390
hex6ff30de90

30051196560 has 640 divisors, whose sum is σ = 129711697920. Its totient is φ = 6212505600.

The previous prime is 30051196543. The next prime is 30051196561. The reversal of 30051196560 is 6569115003.

30051196560 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 1 + 1 + 96 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30051196561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46735599 + ... + 46736241.

It is an arithmetic number, because the mean of its divisors is an integer number (202674528).

Almost surely, 230051196560 is an apocalyptic number.

30051196560 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 30051196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64855848960).

30051196560 is an abundant number, since it is smaller than the sum of its proper divisors (99660501360).

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

30051196560 is a wasteful number, since it uses less digits than its factorization.

30051196560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 30051196560 in words is "thirty billion, fifty-one million, one hundred ninety-six thousand, five hundred sixty".