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30508845696 = 27347323373
BaseRepresentation
bin11100011010011110…
…000000101010000000
32220202012202221110000
4130122132000222000
5444440231030241
622003210240000
72130015624000
oct343236005200
986665687400
1030508845696
1111a364a236a
125ab5426000
132b52926524
141695c64000
15bd863ceb6
hex71a780a80

30508845696 has 640 divisors, whose sum is σ = 110781792000. Its totient is φ = 8315467776.

The previous prime is 30508845683. The next prime is 30508845721. The reversal of 30508845696 is 69654880503.

It is a happy number.

30508845696 is a `hidden beast` number, since 3 + 0 + 508 + 8 + 45 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 81792966 + ... + 81793338.

It is an arithmetic number, because the mean of its divisors is an integer number (173096550).

Almost surely, 230508845696 is an apocalyptic number.

30508845696 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 30508845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55390896000).

30508845696 is an abundant number, since it is smaller than the sum of its proper divisors (80272946304).

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

30508845696 is an equidigital number, since it uses as much as digits as its factorization.

30508845696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 30508845696 in words is "thirty billion, five hundred eight million, eight hundred forty-five thousand, six hundred ninety-six".