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30097684221696 = 283472136771479
BaseRepresentation
bin1101101011111101010011…
…10001101100111100000000
310221120022101100210101010000
412311332221301230330000
512421110024130043241
6144002404003040000
76224325446516400
oct665765161547400
9127508340711100
1030097684221696
1196543a1109693
123461171670000
1313a4279240b70
14760a42a32800
15372d9aa76eb6
hex1b5fa9c6cf00

30097684221696 has 2160 divisors, whose sum is σ = 115955621591040. Its totient is φ = 7693148897280.

The previous prime is 30097684221677. The next prime is 30097684221791. The reversal of 30097684221696 is 69612248679003.

30097684221696 is a `hidden beast` number, since 3 + 0 + 0 + 97 + 68 + 422 + 1 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62834413585 + ... + 62834414063.

It is an arithmetic number, because the mean of its divisors is an integer number (53683158144).

Almost surely, 230097684221696 is an apocalyptic number.

30097684221696 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 30097684221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57977810795520).

30097684221696 is an abundant number, since it is smaller than the sum of its proper divisors (85857937369344).

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

30097684221696 is a wasteful number, since it uses less digits than its factorization.

30097684221696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 30097684221696 in words is "thirty trillion, ninety-seven billion, six hundred eighty-four million, two hundred twenty-one thousand, six hundred ninety-six".