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12455338896 = 2434711139601
BaseRepresentation
bin10111001100110010…
…10110001110010000
31012011000220202220000
423212121112032100
5201002031321041
65415533050000
7620440430250
oct134631261620
935130822800
1012455338896
115311794510
1224b7326900
1312365b0620
148622a9960
154cd715bb6
hex2e6656390

12455338896 has 400 divisors, whose sum is σ = 48406985088. Its totient is φ = 2985984000.

The previous prime is 12455338867. The next prime is 12455338969. The reversal of 12455338896 is 69883355421.

12455338896 is a `hidden beast` number, since 1 + 2 + 4 + 553 + 3 + 8 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1292496 + ... + 1302096.

Almost surely, 212455338896 is an apocalyptic number.

12455338896 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 12455338896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203492544).

12455338896 is an abundant number, since it is smaller than the sum of its proper divisors (35951646192).

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

12455338896 is a wasteful number, since it uses less digits than its factorization.

12455338896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 9637 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 12455338896 in words is "twelve billion, four hundred fifty-five million, three hundred thirty-eight thousand, eight hundred ninety-six".