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12642906500 = 225372737069
BaseRepresentation
bin10111100011001001…
…10111000110000100
31012122002212012021022
423301210313012010
5201343041002000
65450313210312
7625205634500
oct136144670604
935562765238
1012642906500
1153a8655864
12254a100998
131266403b83
1487d173300
154dee16585
hex2f1937184

12642906500 has 144 divisors (see below), whose sum is σ = 32564815920. Its totient is φ = 4274726400.

The previous prime is 12642906487. The next prime is 12642906503. The reversal of 12642906500 is 560924621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4604708164 + 8038198336 = 67858^2 + 89656^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (12642906503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784966 + ... + 1792034.

It is an arithmetic number, because the mean of its divisors is an integer number (226144555).

Almost surely, 212642906500 is an apocalyptic number.

12642906500 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 12642906500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282407960).

12642906500 is an abundant number, since it is smaller than the sum of its proper divisors (19921909420).

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

12642906500 is a wasteful number, since it uses less digits than its factorization.

12642906500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 12642906500 in words is "twelve billion, six hundred forty-two million, nine hundred six thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 73 98 100 125 140 146 175 196 245 250 292 350 365 490 500 511 700 730 875 980 1022 1225 1460 1750 1825 2044 2450 2555 3500 3577 3650 4900 5110 6125 7069 7154 7300 9125 10220 12250 12775 14138 14308 17885 18250 24500 25550 28276 35345 35770 36500 49483 51100 63875 70690 71540 89425 98966 127750 141380 176725 178850 197932 247415 255500 346381 353450 357700 447125 494830 516037 692762 706900 883625 894250 989660 1032074 1237075 1385524 1731905 1767250 1788500 2064148 2474150 2580185 3463810 3534500 3612259 4948300 5160370 6185375 6927620 7224518 8659525 10320740 12370750 12900925 14449036 17319050 18061295 24741500 25285813 25801850 34638100 36122590 43297625 50571626 51603700 64504625 72245180 86595250 90306475 101143252 126429065 129009250 173190500 180612950 252858130 258018500 361225900 451532375 505716260 632145325 903064750 1264290650 1806129500 2528581300 3160726625 6321453250 12642906500