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116006589240 = 233519314014093
BaseRepresentation
bin110110000001010001…
…0000001001100111000
3102002102200212022210020
41230002202001030320
53400040141323430
6125143115450440
711244515511303
oct1540242011470
9362380768706
10116006589240
114521a771553
121a596456a20
13ac29a61c19
145886c29b3a
15303e5d2b10
hex1b02881338

116006589240 has 256 divisors, whose sum is σ = 379189555200. Its totient is φ = 28283904000.

The previous prime is 116006589239. The next prime is 116006589253. The reversal of 116006589240 is 42985600611.

It is a junction number, because it is equal to n+sod(n) for n = 116006589192 and 116006589201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28340634 + ... + 28344726.

It is an arithmetic number, because the mean of its divisors is an integer number (1481209200).

Almost surely, 2116006589240 is an apocalyptic number.

116006589240 is a gapful number since it is divisible by the number (10) 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 116006589240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189594777600).

116006589240 is an abundant number, since it is smaller than the sum of its proper divisors (263182965960).

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

116006589240 is a wasteful number, since it uses less digits than its factorization.

116006589240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 116006589240 in words is "one hundred sixteen billion, six million, five hundred eighty-nine thousand, two hundred forty".