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112044988661760 = 21537571131131
BaseRepresentation
bin11001011110011110000001…
…101111111000000000000000
3112200201101200220111110000000
4121132132001233320000000
5104141221114044134020
61034144431320000000
732412661161401040
oct3136360157700000
9480641626443000
10112044988661760
1132779016102480
12106970a0000000
134a69a492a6c3b
141d9501374b720
15ce483213e090
hex65e781bf8000

112044988661760 has 4096 divisors, whose sum is σ = 522990187315200. Its totient is φ = 22359048192000.

The previous prime is 112044988661741. The next prime is 112044988661831. The reversal of 112044988661760 is 67166889440211.

112044988661760 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 4 + 9 + 8 + 8 + 6 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 855305256895 + ... + 855305257025.

It is an arithmetic number, because the mean of its divisors is an integer number (127683151200).

Almost surely, 2112044988661760 is an apocalyptic number.

112044988661760 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 112044988661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261495093657600).

112044988661760 is an abundant number, since it is smaller than the sum of its proper divisors (410945198653440).

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

112044988661760 is an frugal number, since it uses more digits than its factorization.

112044988661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 112044988661760 in words is "one hundred twelve trillion, forty-four billion, nine hundred eighty-eight million, six hundred sixty-one thousand, seven hundred sixty".