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116242368000 = 2935311232393
BaseRepresentation
bin110110001000010010…
…1011100011000000000
3102010001010112010102220
41230100211130120000
53401031021234000
6125222341211040
711253410553033
oct1542045343000
9363033463386
10116242368000
1145330871630
121a641400a80
13ac66865595
1458aa28301a
1530551581a0
hex1b1095c600

116242368000 has 640 divisors, whose sum is σ = 440125830144. Its totient is φ = 26943488000.

The previous prime is 116242367999. The next prime is 116242368013. The reversal of 116242368000 is 863242611.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 48574804 + ... + 48577196.

Almost surely, 2116242368000 is an apocalyptic number.

116242368000 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 116242368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220062915072).

116242368000 is an abundant number, since it is smaller than the sum of its proper divisors (323883462144).

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

116242368000 is a wasteful number, since it uses less digits than its factorization.

116242368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 116242368000 in words is "one hundred sixteen billion, two hundred forty-two million, three hundred sixty-eight thousand".