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12404013083055 = 33511172191521193
BaseRepresentation
bin1011010010000000100011…
…0010110010100110101111
31121220210220222222012211000
42310200020302302212233
53111211404322124210
642214154104331343
72420106002400066
oct264401062624657
947823828865730
1012404013083055
113a52570016970
121483b92a73b53
136bc902580589
1430c500b3d1dd
151679cbcc5ac0
hexb4808cb29af

12404013083055 has 192 divisors, whose sum is σ = 26899577740800. Its totient is φ = 5362384343040.

The previous prime is 12404013083053. The next prime is 12404013083071. The reversal of 12404013083055 is 55038031040421.

12404013083055 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 40 + 1 + 308 + 305 + 5 = 666.

It is not a de Polignac number, because 12404013083055 - 21 = 12404013083053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404013083053) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7393539 + ... + 8914731.

It is an arithmetic number, because the mean of its divisors is an integer number (140101967400).

Almost surely, 212404013083055 is an apocalyptic number.

12404013083055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12404013083055 is an abundant number, since it is smaller than the sum of its proper divisors (14495564657745).

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

12404013083055 is a wasteful number, since it uses less digits than its factorization.

12404013083055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521271 (or 1521248 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12404013083055 in words is "twelve trillion, four hundred four billion, thirteen million, eighty-three thousand, fifty-five".