Search a number
-
+
30683331933696 = 2933136112722039
BaseRepresentation
bin1101111101000000001010…
…00110011011011000000000
311000122022001011021122202000
412332200011012123120000
513010203430433334241
6145131421134024000
76314540366112231
oct676400506333000
9130568034248660
1030683331933696
11985a800a66842
123536775948000
13141756c5b4a60
1478111cad9088
153832258c4eb6
hex1be80519b600

30683331933696 has 640 divisors, whose sum is σ = 100202119987200. Its totient is φ = 9212716154880.

The previous prime is 30683331933673. The next prime is 30683331933713. The reversal of 30683331933696 is 69633913338603.

30683331933696 is a `hidden beast` number, since 3 + 0 + 6 + 83 + 3 + 3 + 193 + 369 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1392217845 + ... + 1392239883.

It is an arithmetic number, because the mean of its divisors is an integer number (156565812480).

Almost surely, 230683331933696 is an apocalyptic number.

30683331933696 is a gapful number since it is divisible by the number (36) 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 30683331933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50101059993600).

30683331933696 is an abundant number, since it is smaller than the sum of its proper divisors (69518788053504).

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

30683331933696 is a wasteful number, since it uses less digits than its factorization.

30683331933696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22267 (or 22245 counting only the distinct ones).

The product of its (nonzero) digits is 102036672, while the sum is 63.

The spelling of 30683331933696 in words is "thirty trillion, six hundred eighty-three billion, three hundred thirty-one million, nine hundred thirty-three thousand, six hundred ninety-six".