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12314281696 = 2523127131743
BaseRepresentation
bin10110111011111110…
…10000011011100000
31011210012111022210021
423131333100123200
5200204424003241
65353533443224
7614105444623
oct133577203340
934705438707
1012314281696
11524a100112
122478040514
1312132c3022
1484b66bdba
154c11510d1
hex2ddfd06e0

12314281696 has 48 divisors (see below), whose sum is σ = 25497206784. Its totient is φ = 5843021184.

The previous prime is 12314281631. The next prime is 12314281697. The reversal of 12314281696 is 69618241321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314281697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27601 + ... + 159343.

It is an arithmetic number, because the mean of its divisors is an integer number (531191808).

Almost surely, 212314281696 is an apocalyptic number.

12314281696 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 12314281696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748603392).

12314281696 is an abundant number, since it is smaller than the sum of its proper divisors (13182925088).

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

12314281696 is a wasteful number, since it uses less digits than its factorization.

12314281696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131903 (or 131895 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The spelling of 12314281696 in words is "twelve billion, three hundred fourteen million, two hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 127 184 254 368 508 736 1016 2032 2921 4064 5842 11684 23368 46736 93472 131743 263486 526972 1053944 2107888 3030089 4215776 6060178 12120356 16731361 24240712 33462722 48481424 66925444 96962848 133850888 267701776 384821303 535403552 769642606 1539285212 3078570424 6157140848 12314281696