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11349595488 = 25371117372441
BaseRepresentation
bin10101001000111110…
…10001010101100000
31002021222021012002110
422210133101111200
5141220444023423
65114113115320
7551152653450
oct124437212540
932258235073
1011349595488
1148a4607090
122248b58b40
1310bb49b69a
147994b3d60
154665e8193
hex2a47d1560

11349595488 has 384 divisors, whose sum is σ = 40408574976. Its totient is φ = 2698444800.

The previous prime is 11349595463. The next prime is 11349595501. The reversal of 11349595488 is 88459594311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4648348 + ... + 4650788.

It is an arithmetic number, because the mean of its divisors is an integer number (105230664).

Almost surely, 211349595488 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 11349595488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20204287488).

11349595488 is an abundant number, since it is smaller than the sum of its proper divisors (29058979488).

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

11349595488 is a wasteful number, since it uses less digits than its factorization.

11349595488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2518 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 57.

The spelling of 11349595488 in words is "eleven billion, three hundred forty-nine million, five hundred ninety-five thousand, four hundred eighty-eight".