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13273342992 = 2434713241467
BaseRepresentation
bin11000101110010011…
…10010010000010000
31021021001010200120000
430113021302100100
5204140433433432
610033033450000
7646632360660
oct142711622020
937231120500
1013273342992
1156a1502058
1226a5270900
131336bc8310
148dcba01a0
1552a44757c
hex317272410

13273342992 has 400 divisors, whose sum is σ = 47580204672. Its totient is φ = 3478671360.

The previous prime is 13273342933. The next prime is 13273342997. The reversal of 13273342992 is 29924337231.

13273342992 is a `hidden beast` number, since 1 + 3 + 27 + 334 + 299 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13273342997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28422343 + ... + 28422809.

Almost surely, 213273342992 is an apocalyptic number.

13273342992 is a gapful number since it is divisible by the number (12) 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 13273342992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23790102336).

13273342992 is an abundant number, since it is smaller than the sum of its proper divisors (34306861680).

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

13273342992 is a wasteful number, since it uses less digits than its factorization.

13273342992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 733 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 13273342992 in words is "thirteen billion, two hundred seventy-three million, three hundred forty-two thousand, nine hundred ninety-two".