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12968873352 = 2332134212
BaseRepresentation
bin11000001010000000…
…10100110110001000
31020110211020000201200
430011000110312020
5203030012421402
65542515544200
7636244414251
oct140500246610
936424200650
1012968873352
115555655556
12261b2bb060
1312b8ac3c76
148b0585b28
1550d85421c
hex305014d88

12968873352 has 36 divisors (see below), whose sum is σ = 35126649285. Its totient is φ = 4322635680.

The previous prime is 12968873329. The next prime is 12968873353. The reversal of 12968873352 is 25337886921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9505080036 + 3463793316 = 97494^2 + 58854^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80526.

It is not an unprimeable number, because it can be changed into a prime (12968873353) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 959602 + ... + 973022.

Almost surely, 212968873352 is an apocalyptic number.

12968873352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12968873352 is an abundant number, since it is smaller than the sum of its proper divisors (22157775933).

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

12968873352 is an frugal number, since it uses more digits than its factorization.

12968873352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26854 (or 13426 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12968873352 in words is "twelve billion, nine hundred sixty-eight million, eight hundred seventy-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13421 26842 40263 53684 80526 107368 120789 161052 241578 322104 483156 966312 180123241 360246482 540369723 720492964 1080739446 1440985928 1621109169 2161478892 3242218338 4322957784 6484436676 12968873352