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116450071920 = 243257213219531
BaseRepresentation
bin110110001110011110…
…1110001010101110000
3102010120121100120122200
41230130331301111300
53401442204300140
6125255121103200
711261512164600
oct1543475612560
9363517316580
10116450071920
1145428036666
121a69aa87b00
13ac9a8b9300
1458c9aacc00
1530684d5030
hex1b1cf71570

116450071920 has 540 divisors, whose sum is σ = 492639190056. Its totient is φ = 24568427520.

The previous prime is 116450071891. The next prime is 116450071921. The reversal of 116450071920 is 29170054611.

116450071920 is a `hidden beast` number, since 1 + 1 + 64 + 500 + 7 + 1 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116450071921) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5952555 + ... + 5972085.

Almost surely, 2116450071920 is an apocalyptic number.

116450071920 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 116450071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246319595028).

116450071920 is an abundant number, since it is smaller than the sum of its proper divisors (376189118136).

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

116450071920 is a wasteful number, since it uses less digits than its factorization.

116450071920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19590 (or 19561 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 116450071920 in words is "one hundred sixteen billion, four hundred fifty million, seventy-one thousand, nine hundred twenty".