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116294769360 = 2433572112343101
BaseRepresentation
bin110110001001110110…
…1010101101011010000
3102010011210010101121000
41230103231111223100
53401132430104420
6125231452302000
711254615141500
oct1542355255320
9363153111530
10116294769360
1145358402540
121a656a71900
13ac746819c3
1458b3203a00
153059a59690
hex1b13b55ad0

116294769360 has 1920 divisors, whose sum is σ = 548142059520. Its totient is φ = 22353408000.

The previous prime is 116294769359. The next prime is 116294769377. The reversal of 116294769360 is 63967492611.

116294769360 is a `hidden beast` number, since 1 + 1 + 6 + 29 + 476 + 93 + 60 = 666.

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 = 116294769297 and 116294769306.

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 383 ways as a sum of consecutive naturals, for example, 1151433310 + ... + 1151433410.

It is an arithmetic number, because the mean of its divisors is an integer number (285490656).

Almost surely, 2116294769360 is an apocalyptic number.

116294769360 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 116294769360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274071029760).

116294769360 is an abundant number, since it is smaller than the sum of its proper divisors (431847290160).

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

116294769360 is a wasteful number, since it uses less digits than its factorization.

116294769360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 116294769360 in words is "one hundred sixteen billion, two hundred ninety-four million, seven hundred sixty-nine thousand, three hundred sixty".