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11313883392 = 283773127227
BaseRepresentation
bin10101000100101110…
…00010100100000000
31002012111001211022020
422202113002210000
5141132323232032
65110355441440
7550240264530
oct124227024400
932174054266
1011313883392
114886435059
122238bb6280
1310b3c76776
147948594c0
154633e1b2c
hex2a25c2900

11313883392 has 288 divisors, whose sum is σ = 35314040832. Its totient is φ = 3149217792.

The previous prime is 11313883391. The next prime is 11313883397. The reversal of 11313883392 is 29338831311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11313883391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49840783 + ... + 49841009.

Almost surely, 211313883392 is an apocalyptic number.

11313883392 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 11313883392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657020416).

11313883392 is an abundant number, since it is smaller than the sum of its proper divisors (24000157440).

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

11313883392 is a wasteful number, since it uses less digits than its factorization.

11313883392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The spelling of 11313883392 in words is "eleven billion, three hundred thirteen million, eight hundred eighty-three thousand, three hundred ninety-two".