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116715479040 = 213345127277
BaseRepresentation
bin110110010110011001…
…0001110000000000000
3102011021002202122210000
41230230302032000000
53403013130312130
6125341321440000
711301214126356
oct1545462160000
9364232678700
10116715479040
1145553932996
121a753940000
13b010894744
1459130397d6
15308195e260
hex1b2cc8e000

116715479040 has 560 divisors, whose sum is σ = 423238159872. Its totient is φ = 30767579136.

The previous prime is 116715479029. The next prime is 116715479051. The reversal of 116715479040 is 40974517611.

116715479040 is a `hidden beast` number, since 1 + 1 + 67 + 1 + 547 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (116715479029) and next prime (116715479051).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 421355382 + ... + 421355658.

Almost surely, 2116715479040 is an apocalyptic number.

116715479040 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 116715479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211619079936).

116715479040 is an abundant number, since it is smaller than the sum of its proper divisors (306522680832).

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

116715479040 is an equidigital number, since it uses as much as digits as its factorization.

116715479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 116715479040 in words is "one hundred sixteen billion, seven hundred fifteen million, four hundred seventy-nine thousand, forty".