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1163042496 = 26337118741
BaseRepresentation
bin100010101010010…
…1001111011000000
310000001110200101000
41011110221323000
54340214324441
6311224012000
740551461310
oct10524517300
93001420330
101163042496
11547564050
12285601000
13156c54735
14b066d440
156c18a2b6
hex45529ec0

1163042496 has 224 divisors, whose sum is σ = 4263298560. Its totient is φ = 302054400.

The previous prime is 1163042483. The next prime is 1163042501. The reversal of 1163042496 is 6942403611.

1163042496 is a `hidden beast` number, since 1 + 163 + 0 + 4 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 1163042496.

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 31 ways as a sum of consecutive naturals, for example, 128686 + ... + 137426.

Almost surely, 21163042496 is an apocalyptic number.

1163042496 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 1163042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131649280).

1163042496 is an abundant number, since it is smaller than the sum of its proper divisors (3100256064).

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

1163042496 is a wasteful number, since it uses less digits than its factorization.

1163042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8764 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1163042496 is about 34103.4088618719. The cubic root of 1163042496 is about 1051.6353943778.

The spelling of 1163042496 in words is "one billion, one hundred sixty-three million, forty-two thousand, four hundred ninety-six".