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13283094279888 = 24322371155336373
BaseRepresentation
bin1100000101001011011000…
…0111011011011011010000
31202000211222200022222210200
43001102312013123123100
53220112234113424023
644130100321255200
72540446313312226
oct301226607333320
952024880288720
1013283094279888
114261368482284
1215a6429494500
1375478a1b3934
1433cc95bcab16
151807cca93743
hexc14b61db6d0

13283094279888 has 240 divisors, whose sum is σ = 39363242091264. Its totient is φ = 4172735508480.

The previous prime is 13283094279887. The next prime is 13283094279941. The reversal of 13283094279888 is 88897249038231.

13283094279888 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 30 + 9 + 427 + 98 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13283094279887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365172870 + ... + 365209242.

Almost surely, 213283094279888 is an apocalyptic number.

13283094279888 is a gapful number since it is divisible by the number (18) 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 13283094279888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681621045632).

13283094279888 is an abundant number, since it is smaller than the sum of its proper divisors (26080147811376).

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

13283094279888 is a wasteful number, since it uses less digits than its factorization.

13283094279888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38034 (or 38025 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 13283094279888 in words is "thirteen trillion, two hundred eighty-three billion, ninety-four million, two hundred seventy-nine thousand, eight hundred eighty-eight".