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12632264860 = 2252953607677
BaseRepresentation
bin10111100001111000…
…10001000010011100
31012121100211112200111
423300330101002130
5201332324433420
65445253135404
7625016323345
oct136074210234
935540745614
1012632264860
1153a2647616
12254662a564
131264149247
1487b9a30cc
154de01345a
hex2f0f1109c

12632264860 has 96 divisors (see below), whose sum is σ = 28047720960. Its totient is φ = 4771673088.

The previous prime is 12632264839. The next prime is 12632264867. The reversal of 12632264860 is 6846223621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12632264867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18658842 + ... + 18659518.

It is an arithmetic number, because the mean of its divisors is an integer number (292163760).

Almost surely, 212632264860 is an apocalyptic number.

12632264860 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 12632264860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023860480).

12632264860 is an abundant number, since it is smaller than the sum of its proper divisors (15415456100).

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

12632264860 is a wasteful number, since it uses less digits than its factorization.

12632264860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 12632264860 in words is "twelve billion, six hundred thirty-two million, two hundred sixty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 607 677 1060 1214 1354 1537 2428 2708 3035 3074 3385 6070 6148 6770 7685 12140 13540 15370 17603 19633 30740 32171 35206 35881 39266 64342 70412 71762 78532 88015 98165 128684 143524 160855 176030 179405 196330 321710 352060 358810 392660 410939 643420 717620 821878 932959 1040549 1643756 1865918 2054695 2081098 3731836 4109390 4162196 4664795 5202745 8218780 9329590 10405490 11917231 18659180 20810980 21779767 23834462 43559534 47668924 59586155 87119068 108898835 119172310 217797670 238344620 435595340 631613243 1263226486 2526452972 3158066215 6316132430 12632264860