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12350552281056 = 25321119972115319
BaseRepresentation
bin1011001110111001011001…
…0010000000111111100000
31121201200221020001002100100
42303232112102000333200
53104322412340443211
642133433154022400
72413204125152433
oct263562622007740
947650836032310
1012350552281056
113a3192686a080
121475752b77a00
136b7862819a22
14309aac93581a
151663ed6b8156
hexb3b96480fe0

12350552281056 has 288 divisors, whose sum is σ = 40747155321600. Its totient is φ = 3509058723840.

The previous prime is 12350552281043. The next prime is 12350552281099. The reversal of 12350552281056 is 65018225505321.

12350552281056 is a `hidden beast` number, since 1 + 2 + 35 + 0 + 552 + 2 + 8 + 10 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×123505522810562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4780965 + ... + 6896283.

It is an arithmetic number, because the mean of its divisors is an integer number (141483178200).

Almost surely, 212350552281056 is an apocalyptic number.

12350552281056 is a gapful number since it is divisible by the number (16) 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 12350552281056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373577660800).

12350552281056 is an abundant number, since it is smaller than the sum of its proper divisors (28396603040544).

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

12350552281056 is a wasteful number, since it uses less digits than its factorization.

12350552281056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115462 (or 2115451 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

Adding to 12350552281056 its reverse (65018225505321), we get a palindrome (77368777786377).

The spelling of 12350552281056 in words is "twelve trillion, three hundred fifty billion, five hundred fifty-two million, two hundred eighty-one thousand, fifty-six".