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30490248096 = 253571150923
BaseRepresentation
bin11100011001010111…
…000100001110100000
32220200220210002100000
4130121113010032200
5444421000414341
622001303500000
72126401555410
oct343127041640
986626702300
1030490248096
1111a26a4a750
125aab157600
132b4bb14529
1416935c2640
15bd6bb78b6
hex7195c43a0

30490248096 has 288 divisors, whose sum is σ = 112107760128. Its totient is φ = 7919389440.

The previous prime is 30490248077. The next prime is 30490248127. The reversal of 30490248096 is 69084209403.

30490248096 is a `hidden beast` number, since 30 + 490 + 2 + 48 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 573291 + ... + 624213.

It is an arithmetic number, because the mean of its divisors is an integer number (389263056).

Almost surely, 230490248096 is an apocalyptic number.

30490248096 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 30490248096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56053880064).

30490248096 is an abundant number, since it is smaller than the sum of its proper divisors (81617512032).

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

30490248096 is a wasteful number, since it uses less digits than its factorization.

30490248096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50966 (or 50946 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 30490248096 in words is "thirty billion, four hundred ninety million, two hundred forty-eight thousand, ninety-six".