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12684459700 = 22521165317659
BaseRepresentation
bin10111101000000110…
…10111111010110100
31012202000001022112201
423310003113322310
5201434210202300
65454355554244
7626222062033
oct136403277264
935660038481
1012684459700
11541a057350
12255bbbb984
131271bc2673
148848ac71a
154e38c366a
hex2f40d7eb4

12684459700 has 72 divisors (see below), whose sum is σ = 30075262560. Its totient is φ = 4605206400.

The previous prime is 12684459607. The next prime is 12684459703. The reversal of 12684459700 is 795448621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12684459703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709471 + ... + 727129.

It is an arithmetic number, because the mean of its divisors is an integer number (417711980).

Almost surely, 212684459700 is an apocalyptic number.

12684459700 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 12684459700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037631280).

12684459700 is an abundant number, since it is smaller than the sum of its proper divisors (17390802860).

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

12684459700 is a wasteful number, since it uses less digits than its factorization.

12684459700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18337 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 12684459700 in words is "twelve billion, six hundred eighty-four million, four hundred fifty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 653 1100 1306 2612 3265 6530 7183 13060 14366 16325 17659 28732 32650 35318 35915 65300 70636 71830 88295 143660 176590 179575 194249 353180 359150 388498 441475 718300 776996 882950 971245 1765900 1942490 3884980 4856225 9712450 11531327 19424900 23062654 46125308 57656635 115313270 126844597 230626540 253689194 288283175 507378388 576566350 634222985 1153132700 1268445970 2536891940 3171114925 6342229850 12684459700