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1116170496 = 28337172359
BaseRepresentation
bin100001010000111…
…0110100100000000
32212210021100002000
41002201312210000
54241214423441
6302431224000
736442202250
oct10241664400
92783240060
101116170496
1152305a461
12271978000
1314a32301c
14a834b960
1567ecc2b6
hex42876900

1116170496 has 576 divisors, whose sum is σ = 4238438400. Its totient is φ = 282230784.

The previous prime is 1116170491. The next prime is 1116170501. The reversal of 1116170496 is 6940716111.

1116170496 = T93 + T94 + ... + T1884.

1116170496 is a `hidden beast` number, since 1 + 1 + 161 + 7 + 0 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (1116170491) and next prime (1116170501).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11161704962 = 2491673152281772032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1116170496.

It is not an unprimeable number, because it can be changed into a prime (1116170491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18918115 + ... + 18918173.

It is an arithmetic number, because the mean of its divisors is an integer number (7358400).

Almost surely, 21116170496 is an apocalyptic number.

1116170496 is a gapful number since it is divisible by the number (16) 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 1116170496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119219200).

1116170496 is an abundant number, since it is smaller than the sum of its proper divisors (3122267904).

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

1116170496 is a wasteful number, since it uses less digits than its factorization.

1116170496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1116170496 is about 33409.1379116552. The cubic root of 1116170496 is about 1037.3138570779.

The spelling of 1116170496 in words is "one billion, one hundred sixteen million, one hundred seventy thousand, four hundred ninety-six".