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116726747760 = 243457171931257
BaseRepresentation
bin110110010110101110…
…1001101001001110000
3102011021212222011120000
41230231131031021300
53403024021412020
6125342403150000
711301411661650
oct1545535151160
9364255864500
10116726747760
114555a22a287
121a757675300
13b01300b91c
145914730360
153082938090
hex1b2d74d270

116726747760 has 1600 divisors, whose sum is σ = 535131463680. Its totient is φ = 22932357120.

The previous prime is 116726747749. The next prime is 116726747783. The reversal of 116726747760 is 67747627611.

It is a happy number.

116726747760 is a `hidden beast` number, since 1 + 167 + 2 + 6 + 7 + 477 + 6 + 0 = 666.

116726747760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 116726747697 and 116726747706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 454189552 + ... + 454189808.

Almost surely, 2116726747760 is an apocalyptic number.

116726747760 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 116726747760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267565731840).

116726747760 is an abundant number, since it is smaller than the sum of its proper divisors (418404715920).

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

116726747760 is a wasteful number, since it uses less digits than its factorization.

116726747760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 116726747760 in words is "one hundred sixteen billion, seven hundred twenty-six million, seven hundred forty-seven thousand, seven hundred sixty".