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116782658720 = 255713172711741
BaseRepresentation
bin110110011000011001…
…0011111010010100000
3102011102210011201222022
41230300302133102200
53403132330034340
6125352121401012
711302661135450
oct1546062372240
9364383151868
10116782658720
1145588847a92
121a772339168
13b021786630
14591bd25d60
1530877ce3b5
hex1b30c9f4a0

116782658720 has 384 divisors, whose sum is σ = 361076631552. Its totient is φ = 34637414400.

The previous prime is 116782658683. The next prime is 116782658731. The reversal of 116782658720 is 27856287611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67077050 + ... + 67078790.

It is an arithmetic number, because the mean of its divisors is an integer number (940303728).

Almost surely, 2116782658720 is an apocalyptic number.

116782658720 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 116782658720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180538315776).

116782658720 is an abundant number, since it is smaller than the sum of its proper divisors (244293972832).

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

116782658720 is a wasteful number, since it uses less digits than its factorization.

116782658720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 53.

The spelling of 116782658720 in words is "one hundred sixteen billion, seven hundred eighty-two million, six hundred fifty-eight thousand, seven hundred twenty".