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11642344392 = 23371979137337
BaseRepresentation
bin10101101011111000…
…00001001111001000
31010001101010101002110
422311330001033020
5142320420010032
65203131502320
7561336203010
oct126574011710
933041111073
1011642344392
114a34888728
12230abb79a0
13113702aba3
147c631ac40
154821737cc
hex2b5f013c8

11642344392 has 256 divisors, whose sum is σ = 35822592000. Its totient is φ = 3079544832.

The previous prime is 11642344387. The next prime is 11642344421. The reversal of 11642344392 is 29344324611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11642344392.

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, 34546848 + ... + 34547184.

It is an arithmetic number, because the mean of its divisors is an integer number (139932000).

Almost surely, 211642344392 is an apocalyptic number.

11642344392 is a gapful number since it is divisible by the number (12) 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 11642344392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911296000).

11642344392 is an abundant number, since it is smaller than the sum of its proper divisors (24180247608).

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

11642344392 is a wasteful number, since it uses less digits than its factorization.

11642344392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 11642344392 in words is "eleven billion, six hundred forty-two million, three hundred forty-four thousand, three hundred ninety-two".