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116978998886400 = 214352713999721
BaseRepresentation
bin11010100110010001001011…
…101011001100000000000000
3120100012002020120012122120010
4122212101023223030000000
5110313040442203331100
61052443224334344520
733432311433333450
oct3246211353140000
9510162216178503
10116978998886400
1134300573265002
121115339205b140
1350370c29b5141
1420c5b56d33d60
15d7cd5b344750
hex6a644bacc000

116978998886400 has 720 divisors, whose sum is σ = 442417202931200. Its totient is φ = 26716196044800.

The previous prime is 116978998886339. The next prime is 116978998886419. The reversal of 116978998886400 is 4688899879611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (84).

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 47 ways as a sum of consecutive naturals, for example, 12033633540 + ... + 12033643260.

Almost surely, 2116978998886400 is an apocalyptic number.

116978998886400 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 116978998886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221208601465600).

116978998886400 is an abundant number, since it is smaller than the sum of its proper divisors (325438204044800).

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

116978998886400 is an equidigital number, since it uses as much as digits as its factorization.

116978998886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 84.

The spelling of 116978998886400 in words is "one hundred sixteen trillion, nine hundred seventy-eight billion, nine hundred ninety-eight million, eight hundred eighty-six thousand, four hundred".