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11232234403296 = 253322136324881
BaseRepresentation
bin1010001101110011010101…
…0101110111010111100000
31110202210100201122201021120
42203130311111313113200
52433012104001401141
635520003420452240
72236334145063444
oct243346525672740
943683321581246
1011232234403296
113640622551435
121314a706aa080
1363626c9c3c3a
142ab900736824
151472999bcc66
hexa37355775e0

11232234403296 has 48 divisors (see below), whose sum is σ = 29493769990608. Its totient is φ = 3742915635200.

The previous prime is 11232234403289. The next prime is 11232234403297. The reversal of 11232234403296 is 69230443223211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×112322344032963 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232234403297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17853225 + ... + 18471656.

It is an arithmetic number, because the mean of its divisors is an integer number (614453541471).

Almost surely, 211232234403296 is an apocalyptic number.

11232234403296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11232234403296 is an abundant number, since it is smaller than the sum of its proper divisors (18261535587312).

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

11232234403296 is a wasteful number, since it uses less digits than its factorization.

11232234403296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36328115 (or 36328107 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 11232234403296 in words is "eleven trillion, two hundred thirty-two billion, two hundred thirty-four million, four hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3221 6442 9663 12884 19326 25768 38652 51536 77304 103072 154608 309216 36324881 72649762 108974643 145299524 217949286 290599048 435898572 581198096 871797144 1162396192 1743594288 3487188576 117002441701 234004883402 351007325103 468009766804 702014650206 936019533608 1404029300412 1872039067216 2808058600824 3744078134432 5616117201648 11232234403296