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12344444568 = 2332792170261
BaseRepresentation
bin10110111111100100…
…10100011010011000
31011212022020202110200
423133302110122120
5200240134211233
65400532142200
7614623022211
oct133762243230
934768222420
1012344444568
115265131a05
122486167960
131219624191
14851680408
154c3b0d313
hex2dfc94698

12344444568 has 48 divisors (see below), whose sum is σ = 33856087200. Its totient is φ = 4062726720.

The previous prime is 12344444561. The next prime is 12344444599. The reversal of 12344444568 is 86544444321.

It is a happy number.

12344444568 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 44 + 44 + 568 = 666.

It is a super-3 number, since 3×123444445683 (a number of 31 digits) contains 333 as substring.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344444561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1079443 + ... + 1090818.

It is an arithmetic number, because the mean of its divisors is an integer number (705335150).

Almost surely, 212344444568 is an apocalyptic number.

12344444568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12344444568 is an abundant number, since it is smaller than the sum of its proper divisors (21511642632).

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

12344444568 is a wasteful number, since it uses less digits than its factorization.

12344444568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170352 (or 2170345 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

Adding to 12344444568 its reverse (86544444321), we get a palindrome (98888888889).

The spelling of 12344444568 in words is "twelve billion, three hundred forty-four million, four hundred forty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 2170261 4340522 6510783 8681044 13021566 17362088 19532349 26043132 39064698 52086264 78129396 156258792 171450619 342901238 514351857 685802476 1028703714 1371604952 1543055571 2057407428 3086111142 4114814856 6172222284 12344444568