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116240069088 = 25331121331289
BaseRepresentation
bin110110001000001110…
…0101011000111100000
3102010000222012022221000
41230100130223013200
53401024424202323
6125222220032000
711253352166463
oct1542034530740
9363028168830
10116240069088
114532a541400
121a640692600
13ac6623c090
1458a9c452da
153054d51e43
hex1b1072b1e0

116240069088 has 864 divisors, whose sum is σ = 419345488800. Its totient is φ = 31112294400.

The previous prime is 116240069051. The next prime is 116240069111. The reversal of 116240069088 is 880960042611.

116240069088 is a `hidden beast` number, since 1 + 162 + 400 + 6 + 9 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1306068148 + ... + 1306068236.

It is an arithmetic number, because the mean of its divisors is an integer number (485353575).

Almost surely, 2116240069088 is an apocalyptic number.

116240069088 is a gapful number since it is divisible by the number (18) 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 116240069088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209672744400).

116240069088 is an abundant number, since it is smaller than the sum of its proper divisors (303105419712).

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

116240069088 is a wasteful number, since it uses less digits than its factorization.

116240069088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 116240069088 in words is "one hundred sixteen billion, two hundred forty million, sixty-nine thousand, eighty-eight".