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116442289152 = 21033722337101
BaseRepresentation
bin110110001110010000…
…0000101010000000000
3102010120001201011201000
41230130200011100000
53401433211223102
6125254242212000
711261356061400
oct1543440052000
9363501634630
10116442289152
1145423700322
121a698354000
13ac990c2a17
1458c8a44800
15306799901c
hex1b1c805400

116442289152 has 1056 divisors, whose sum is σ = 434157891840. Its totient is φ = 30656102400.

The previous prime is 116442289147. The next prime is 116442289181. The reversal of 116442289152 is 251982244611.

116442289152 is a `hidden beast` number, since 11 + 64 + 422 + 8 + 9 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116442289098 and 116442289107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1152893902 + ... + 1152894002.

Almost surely, 2116442289152 is an apocalyptic number.

116442289152 is a gapful number since it is divisible by the number (12) 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 116442289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217078945920).

116442289152 is an abundant number, since it is smaller than the sum of its proper divisors (317715602688).

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

116442289152 is a wasteful number, since it uses less digits than its factorization.

116442289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 116442289152 in words is "one hundred sixteen billion, four hundred forty-two million, two hundred eighty-nine thousand, one hundred fifty-two".