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1116931692960 = 25375231371013
BaseRepresentation
bin10000010000001110010…
…100010001100110100000
310221202222220000220000000
4100100032110101212200
5121244434003133320
62213040014300000
7143460415512606
oct20201624214640
93852886026000
101116931692960
113a0762905576
121605761b7600
13814318a35c5
143c0ba085876
151e0c2183c90
hex1040e5119a0

1116931692960 has 768 divisors, whose sum is σ = 4163838981120. Its totient is φ = 282539778048.

The previous prime is 1116931692917. The next prime is 1116931692973. The reversal of 1116931692960 is 692961396111.

It is a happy number.

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 = 1116931692897 and 1116931692906.

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 127 ways as a sum of consecutive naturals, for example, 1102597414 + ... + 1102598426.

It is an arithmetic number, because the mean of its divisors is an integer number (5421665340).

Almost surely, 21116931692960 is an apocalyptic number.

1116931692960 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 1116931692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081919490560).

1116931692960 is an abundant number, since it is smaller than the sum of its proper divisors (3046907288160).

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

1116931692960 is a wasteful number, since it uses less digits than its factorization.

1116931692960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 1116931692960 in words is "one trillion, one hundred sixteen billion, nine hundred thirty-one million, six hundred ninety-two thousand, nine hundred sixty".