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30216693899520 = 283253118184121
BaseRepresentation
bin1101101111011010111110…
…10011100110000100000000
310221222200120100111101222100
412313231133103212010000
512430032242114241040
6144133205121310400
76236040562216212
oct667553723460400
9127880510441870
1030216693899520
11969a911a60027
123480245795400
1313b25641c907b
147666d262a5b2
15376013b0db30
hex1b7b5f4e6100

30216693899520 has 216 divisors, whose sum is σ = 104551209067032. Its totient is φ = 8057430835200.

The previous prime is 30216693899477. The next prime is 30216693899569. The reversal of 30216693899520 is 2599839661203.

30216693899520 is a `hidden beast` number, since 3 + 0 + 2 + 16 + 6 + 9 + 3 + 8 + 99 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2844376694784 + 27372317204736 = 1686528^2 + 5231856^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359163060 + ... + 359247180.

Almost surely, 230216693899520 is an apocalyptic number.

30216693899520 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 30216693899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52275604533516).

30216693899520 is an abundant number, since it is smaller than the sum of its proper divisors (74334515167512).

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

30216693899520 is a wasteful number, since it uses less digits than its factorization.

30216693899520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115329 (or 115312 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 30216693899520 in words is "thirty trillion, two hundred sixteen billion, six hundred ninety-three million, eight hundred ninety-nine thousand, five hundred twenty".