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11349197496 = 23337131930389
BaseRepresentation
bin10101001000111011…
…10000001010111000
31002021221111222011000
422210131300022320
5141220343304441
65114100405000
7551146405230
oct124435601270
932257458130
1011349197496
1148a436506a
1222489a6760
1310bb38c4a0
1479940ccc0
1546656a2b6
hex2a47702b8

11349197496 has 256 divisors, whose sum is σ = 40844160000. Its totient is φ = 2835565056.

The previous prime is 11349197491. The next prime is 11349197581. The reversal of 11349197496 is 69479194311.

11349197496 is a `hidden beast` number, since 1 + 134 + 9 + 19 + 7 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11349197491) 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, 358270 + ... + 388658.

It is an arithmetic number, because the mean of its divisors is an integer number (159547500).

Almost surely, 211349197496 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 11349197496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422080000).

11349197496 is an abundant number, since it is smaller than the sum of its proper divisors (29494962504).

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

11349197496 is a wasteful number, since it uses less digits than its factorization.

11349197496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30443 (or 30433 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 11349197496 in words is "eleven billion, three hundred forty-nine million, one hundred ninety-seven thousand, four hundred ninety-six".