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116680794048 = 26327135397433
BaseRepresentation
bin110110010101010110…
…1111001111111000000
3102011011200111110220200
41230222231321333000
53402430240402143
6125334042205200
711300313246060
oct1545255717700
9364150443820
10116680794048
11455362a2605
121a7441b3800
13b00663c190
14590c5ab3a0
15307d8ac1d3
hex1b2ab79fc0

116680794048 has 672 divisors, whose sum is σ = 424692567936. Its totient is φ = 29812064256.

The previous prime is 116680794007. The next prime is 116680794049. The reversal of 116680794048 is 840497086611.

116680794048 is a `hidden beast` number, since 1 + 166 + 8 + 0 + 79 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1166807940482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116680793985 and 116680794003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116680794049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269470440 + ... + 269470872.

It is an arithmetic number, because the mean of its divisors is an integer number (631982988).

Almost surely, 2116680794048 is an apocalyptic number.

116680794048 is a gapful number since it is divisible by the number (18) 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 116680794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212346283968).

116680794048 is an abundant number, since it is smaller than the sum of its proper divisors (308011773888).

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

116680794048 is a wasteful number, since it uses less digits than its factorization.

116680794048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 116680794048 in words is "one hundred sixteen billion, six hundred eighty million, seven hundred ninety-four thousand, forty-eight".