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30126580384320 = 26325741139926053
BaseRepresentation
bin1101101100110011001000…
…00111110100001001000000
310221200001222012000112021100
412312121210013310021000
512422043214034244240
6144023543204054400
76226400514040440
oct666314407641100
9127601865015240
1030126580384320
11966567a257322
123466896994400
1313a6c02a10744
147621c4620120
153739dc80ce30
hex1b66641f4240

30126580384320 has 672 divisors, whose sum is σ = 121405970649600. Its totient is φ = 6713062686720.

The previous prime is 30126580384283. The next prime is 30126580384343. The reversal of 30126580384320 is 2348308562103.

30126580384320 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 6 + 580 + 3 + 8 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×301265803843202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1156344414 + ... + 1156370466.

It is an arithmetic number, because the mean of its divisors is an integer number (180663646800).

Almost surely, 230126580384320 is an apocalyptic number.

30126580384320 is a gapful number since it is divisible by the number (30) 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 30126580384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60702985324800).

30126580384320 is an abundant number, since it is smaller than the sum of its proper divisors (91279390265280).

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

30126580384320 is a wasteful number, since it uses less digits than its factorization.

30126580384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27523 (or 27510 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30126580384320 in words is "thirty trillion, one hundred twenty-six billion, five hundred eighty million, three hundred eighty-four thousand, three hundred twenty".