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30314497536 = 29342361521
BaseRepresentation
bin11100001110111000…
…101000011000000000
32220020200002000220000
4130032320220120000
5444041002410121
621532024520000
72122135656201
oct341670503000
986220060800
1030314497536
111194681a754
125a60320000
132b2159a90b
1416781135a8
15bc654d526
hex70ee28600

30314497536 has 400 divisors, whose sum is σ = 96146712288. Its totient is φ = 9488793600.

The previous prime is 30314497517. The next prime is 30314497553. The reversal of 30314497536 is 63579441303.

It is a junction number, because it is equal to n+sod(n) for n = 30314497491 and 30314497500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58184956 + ... + 58185476.

Almost surely, 230314497536 is an apocalyptic number.

30314497536 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 30314497536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48073356144).

30314497536 is an abundant number, since it is smaller than the sum of its proper divisors (65832214752).

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

30314497536 is an equidigital number, since it uses as much as digits as its factorization.

30314497536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 30314497536 in words is "thirty billion, three hundred fourteen million, four hundred ninety-seven thousand, five hundred thirty-six".