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30039034995648 = 2632779523180317
BaseRepresentation
bin1101101010010000000100…
…00000101010001111000000
310221100200222222220222212200
412311020002000222033000
512414124420424330043
6143515424150353200
76220151201362230
oct665100200521700
9127320888828780
1030039034995648
119631535159038
12345192405b800
13139b8905b8403
1475bc7b719cc0
153715b6be37d3
hex1b520202a3c0

30039034995648 has 336 divisors, whose sum is σ = 99838354836480. Its totient is φ = 8457691686912.

The previous prime is 30039034995623. The next prime is 30039034995649. The reversal of 30039034995648 is 84659943093003.

30039034995648 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 90 + 3 + 499 + 56 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30039034995649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166499986 + ... + 166680302.

Almost surely, 230039034995648 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 30039034995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49919177418240).

30039034995648 is an abundant number, since it is smaller than the sum of its proper divisors (69799319840832).

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

30039034995648 is a wasteful number, since it uses less digits than its factorization.

30039034995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180944 (or 180931 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 30039034995648 in words is "thirty trillion, thirty-nine billion, thirty-four million, nine hundred ninety-five thousand, six hundred forty-eight".