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1330829496 = 23321723411153
BaseRepresentation
bin100111101010010…
…1101100010111000
310102202012010212100
41033110231202320
510211143020441
6340020143400
744656602243
oct11724554270
93382163770
101330829496
11623244997
12311837b60
13182940699
14c8a6825a
157bc7ecb6
hex4f52d8b8

1330829496 has 192 divisors, whose sum is σ = 4082944320. Its totient is φ = 389283840.

The previous prime is 1330829453. The next prime is 1330829527. The reversal of 1330829496 is 6949280331.

It is a happy number.

1330829496 is a `hidden beast` number, since 133 + 0 + 8 + 29 + 496 = 666.

1330829496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13308294962 = 3542214294847228032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153656 + ... + 1154808.

It is an arithmetic number, because the mean of its divisors is an integer number (21265335).

Almost surely, 21330829496 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 1330829496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041472160).

1330829496 is an abundant number, since it is smaller than the sum of its proper divisors (2752114824).

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

1330829496 is a wasteful number, since it uses less digits than its factorization.

1330829496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1330829496 is about 36480.5358513276. The cubic root of 1330829496 is about 1099.9530271953.

The spelling of 1330829496 in words is "one billion, three hundred thirty million, eight hundred twenty-nine thousand, four hundred ninety-six".