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11340819990 = 2335236797281
BaseRepresentation
bin10101000111111011…
…10010111000010110
31002021100202100101000
422203331302320112
5141211222214430
65113201044130
7551015244063
oct124375627026
932240670330
1011340819990
11489a662a05
122246026646
1310b9718296
1479826bc6a
15465962e60
hex2a3f72e16

11340819990 has 256 divisors, whose sum is σ = 32473405440. Its totient is φ = 2810142720.

The previous prime is 11340819979. The next prime is 11340820019. The reversal of 11340819990 is 9991804311.

It is a super-2 number, since 2×113408199902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40358650 + ... + 40358930.

It is an arithmetic number, because the mean of its divisors is an integer number (126849240).

Almost surely, 211340819990 is an apocalyptic number.

11340819990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11340819990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236702720).

11340819990 is an abundant number, since it is smaller than the sum of its proper divisors (21132585450).

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

11340819990 is a wasteful number, since it uses less digits than its factorization.

11340819990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 11340819990 in words is "eleven billion, three hundred forty million, eight hundred nineteen thousand, nine hundred ninety".