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116306434530 = 232511134724091
BaseRepresentation
bin110110001010001100…
…1110101100111100010
3102010012121002001012100
41230110121311213202
53401143421401110
6125232550311230
711255116244646
oct1542431654742
9363177061170
10116306434530
1145363a4a780
121a65a958516
13ac76c07480
1458b499cc26
15305aab0bc0
hex1b146759e2

116306434530 has 288 divisors, whose sum is σ = 363071636928. Its totient is φ = 25466630400.

The previous prime is 116306434463. The next prime is 116306434591. The reversal of 116306434530 is 35434603611.

116306434530 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 0 + 643 + 4 + 5 + 3 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 28427785 + ... + 28431875.

It is an arithmetic number, because the mean of its divisors is an integer number (1260665406).

Almost surely, 2116306434530 is an apocalyptic number.

116306434530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116306434530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181535818464).

116306434530 is an abundant number, since it is smaller than the sum of its proper divisors (246765202398).

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

116306434530 is a wasteful number, since it uses less digits than its factorization.

116306434530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 116306434530 in words is "one hundred sixteen billion, three hundred six million, four hundred thirty-four thousand, five hundred thirty".