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116542017360 = 2432510112712619
BaseRepresentation
bin110110010001001110…
…0100000111101010000
3102010211000100220002100
41230202130200331100
53402134224023420
6125312203520400
711264006542236
oct1544234407520
9363730326070
10116542017360
1145474a2662a
121a705829100
13acb396c8b2
1458d7da4956
1530715e8190
hex1b22720f50

116542017360 has 240 divisors, whose sum is σ = 398405928960. Its totient is φ = 30525465600.

The previous prime is 116542017349. The next prime is 116542017373. The reversal of 116542017360 is 63710245611.

116542017360 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 420 + 173 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9229131 + ... + 9241749.

It is an arithmetic number, because the mean of its divisors is an integer number (1660024704).

Almost surely, 2116542017360 is an apocalyptic number.

116542017360 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 116542017360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199202964480).

116542017360 is an abundant number, since it is smaller than the sum of its proper divisors (281863911600).

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

116542017360 is a wasteful number, since it uses less digits than its factorization.

116542017360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12866 (or 12857 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 116542017360 in words is "one hundred sixteen billion, five hundred forty-two million, seventeen thousand, three hundred sixty".