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12668570360 = 2353122745007
BaseRepresentation
bin10111100110001101…
…10000101011111000
31012200220011001110122
423303012300223320
5201421123222420
65453031232412
7625640033315
oct136306605370
935626131418
1012668570360
115411094466
122556818708
13126b81b2a4
14882733d0c
154e22d5725
hex2f31b0af8

12668570360 has 64 divisors (see below), whose sum is σ = 29554053120. Its totient is φ = 4882250880.

The previous prime is 12668570309. The next prime is 12668570363. The reversal of 12668570360 is 6307586621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12668570363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258977 + ... + 303983.

It is an arithmetic number, because the mean of its divisors is an integer number (461782080).

Almost surely, 212668570360 is an apocalyptic number.

12668570360 is a gapful number since it is divisible by the number (10) 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 12668570360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777026560).

12668570360 is an abundant number, since it is smaller than the sum of its proper divisors (16885482760).

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

12668570360 is a wasteful number, since it uses less digits than its factorization.

12668570360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45276 (or 45272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 12668570360 in words is "twelve billion, six hundred sixty-eight million, five hundred seventy thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 227 248 310 454 620 908 1135 1240 1816 2270 4540 7037 9080 14074 28148 35185 45007 56296 70370 90014 140740 180028 225035 281480 360056 450070 900140 1395217 1800280 2790434 5580868 6976085 10216589 11161736 13952170 20433178 27904340 40866356 51082945 55808680 81732712 102165890 204331780 316714259 408663560 633428518 1266857036 1583571295 2533714072 3167142590 6334285180 12668570360