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12642780304 = 2471126339019
BaseRepresentation
bin10111100011001000…
…11000010010010000
31012122002121210011101
423301210120102100
5201343022432204
65450310354144
7625204600540
oct136144302220
935562553141
1012642780304
1153a8579a70
12254a05b954
13126638b5bb
1487d13d320
154dedddea4
hex2f1918490

12642780304 has 80 divisors (see below), whose sum is σ = 30656609280. Its totient is φ = 4906903680.

The previous prime is 12642780299. The next prime is 12642780383. The reversal of 12642780304 is 40308724621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304507 + ... + 343525.

It is an arithmetic number, because the mean of its divisors is an integer number (383207616).

Almost surely, 212642780304 is an apocalyptic number.

12642780304 is a gapful number since it is divisible by the number (14) 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 12642780304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328304640).

12642780304 is an abundant number, since it is smaller than the sum of its proper divisors (18013828976).

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

12642780304 is a wasteful number, since it uses less digits than its factorization.

12642780304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39308 (or 39302 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 12642780304 in words is "twelve billion, six hundred forty-two million, seven hundred eighty thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 263 308 526 616 1052 1232 1841 2104 2893 3682 4208 5786 7364 11572 14728 20251 23144 29456 39019 40502 46288 78038 81004 156076 162008 273133 312152 324016 429209 546266 624304 858418 1092532 1716836 2185064 3004463 3433672 4370128 6008926 6867344 10261997 12017852 20523994 24035704 41047988 48071408 71833979 82095976 112881967 143667958 164191952 225763934 287335916 451527868 574671832 790173769 903055736 1149343664 1580347538 1806111472 3160695076 6321390152 12642780304