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12916932336 = 24327211192461
BaseRepresentation
bin11000000011110100…
…01011111011110000
31020100012111011001100
430001322023323300
5202423213313321
65533422404400
7635044053600
oct140172137360
936305434040
1012916932336
1155292a94a0
122605a30700
1312ab109239
148a7704c00
15508ee4326
hex301e8bef0

12916932336 has 540 divisors, whose sum is σ = 48520816344. Its totient is φ = 3171571200.

The previous prime is 12916932331. The next prime is 12916932341. The reversal of 12916932336 is 63323961921.

12916932336 = T293 + T294 + ... + T4263.

12916932336 is a `hidden beast` number, since 1 + 291 + 6 + 9 + 323 + 36 = 666.

12916932336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12916932331) and next prime (12916932341).

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

It is a junction number, because it is equal to n+sod(n) for n = 12916932291 and 12916932300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12916932331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28019146 + ... + 28019606.

Almost surely, 212916932336 is an apocalyptic number.

12916932336 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 12916932336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24260408172).

12916932336 is an abundant number, since it is smaller than the sum of its proper divisors (35603884008).

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

12916932336 is a wasteful number, since it uses less digits than its factorization.

12916932336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 503 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The spelling of 12916932336 in words is "twelve billion, nine hundred sixteen million, nine hundred thirty-two thousand, three hundred thirty-six".