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12763097424 = 243472113151
BaseRepresentation
bin10111110001011110…
…10110100101010000
31012221111000112020000
423320233112211100
5202114323104144
65510245250000
7631165352400
oct137057264520
935844015200
1012763097424
11545a488000
122582403900
13128529696c
148910dc800
154ea758769
hex2f8bd6950

12763097424 has 600 divisors, whose sum is σ = 47578044096. Its totient is φ = 3293136000.

The previous prime is 12763097381. The next prime is 12763097441. The reversal of 12763097424 is 42479036721.

12763097424 is a `hidden beast` number, since 1 + 2 + 7 + 630 + 9 + 7 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12763097424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 84523749 + ... + 84523899.

Almost surely, 212763097424 is an apocalyptic number.

12763097424 is a gapful number since it is divisible by the number (14) 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 12763097424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23789022048).

12763097424 is an abundant number, since it is smaller than the sum of its proper divisors (34814946672).

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

12763097424 is a wasteful number, since it uses less digits than its factorization.

12763097424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 12763097424 in words is "twelve billion, seven hundred sixty-three million, ninety-seven thousand, four hundred twenty-four".