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1116764064 = 253313195233
BaseRepresentation
bin100001010010000…
…0111011110100000
32212211101111022000
41002210013132200
54241342422224
6302452044000
736450223623
oct10244073640
92784344260
101116764064
11523425409
12272003600
1314a4a0250
14a8463dba
15680980c9
hex429077a0

1116764064 has 192 divisors, whose sum is σ = 3693110400. Its totient is φ = 325472256.

The previous prime is 1116764059. The next prime is 1116764069. The reversal of 1116764064 is 4604676111.

It is a happy number.

1116764064 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 7 + 640 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1116764059) and next prime (1116764069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1116764069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210792 + ... + 216024.

It is an arithmetic number, because the mean of its divisors is an integer number (19234950).

Almost surely, 21116764064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846555200).

1116764064 is an abundant number, since it is smaller than the sum of its proper divisors (2576346336).

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

1116764064 is a wasteful number, since it uses less digits than its factorization.

1116764064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1116764064 is about 33418.0200490693. The cubic root of 1116764064 is about 1037.4977021094.

The spelling of 1116764064 in words is "one billion, one hundred sixteen million, seven hundred sixty-four thousand, sixty-four".