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12892334896 = 2471275471657
BaseRepresentation
bin11000000000111000…
…10110101100110000
31020021111012110201001
430000130112230300
5202400414204041
65531143251344
7634325016130
oct140034265460
936244173631
1012892334896
115516429031
1225b9749b54
1312a5ca633c
148a4340ac0
15506c86131
hex300716b30

12892334896 has 80 divisors (see below), whose sum is σ = 28842090496. Its totient is φ = 5468456448.

The previous prime is 12892334887. The next prime is 12892334947. The reversal of 12892334896 is 69843329821.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7779700 + ... + 7781356.

Almost surely, 212892334896 is an apocalyptic number.

12892334896 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 12892334896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421045248).

12892334896 is an abundant number, since it is smaller than the sum of its proper divisors (15949755600).

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

12892334896 is a wasteful number, since it uses less digits than its factorization.

12892334896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2340 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The spelling of 12892334896 in words is "twelve billion, eight hundred ninety-two million, three hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 547 889 1016 1094 1657 1778 2032 2188 3314 3556 3829 4376 6628 7112 7658 8752 11599 13256 14224 15316 23198 26512 30632 46396 61264 69469 92792 138938 185584 210439 277876 420878 486283 555752 841756 906379 972566 1111504 1473073 1683512 1812758 1945132 2946146 3367024 3625516 3890264 5892292 6344653 7251032 7780528 11784584 12689306 14502064 23569168 25378612 50757224 101514448 115110133 230220266 460440532 805770931 920881064 1611541862 1841762128 3223083724 6446167448 12892334896