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13294181376 = 21034723271
BaseRepresentation
bin11000110000110010…
…10001110000000000
31021022111100101110000
430120121101300000
5204211302301001
610035100240000
7650304451200
oct143031216000
937274311400
1013294181376
115702245263
1226b0240000
13133b313218
14901866400
1552c1b1a86
hex318651c00

13294181376 has 330 divisors, whose sum is σ = 46194616248. Its totient is φ = 3797176320.

The previous prime is 13294181359. The next prime is 13294181429. The reversal of 13294181376 is 67318149231.

13294181376 is a `hidden beast` number, since 13 + 2 + 94 + 181 + 376 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4062621 + ... + 4065891.

Almost surely, 213294181376 is an apocalyptic number.

13294181376 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 13294181376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097308124).

13294181376 is an abundant number, since it is smaller than the sum of its proper divisors (32900434872).

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

13294181376 is an equidigital number, since it uses as much as digits as its factorization.

13294181376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3283 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 13294181376 in words is "thirteen billion, two hundred ninety-four million, one hundred eighty-one thousand, three hundred seventy-six".