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12646341640 = 235457691813
BaseRepresentation
bin10111100011100011…
…11101110000001000
31012122100022201101201
423301301331300020
5201344430413030
65450514553544
7625250062462
oct136161756010
935570281351
1012646341640
1153aa591719
12254b2988b4
1312670375ba
1487d7c9132
154e03942ca
hex2f1c7dc08

12646341640 has 32 divisors (see below), whose sum is σ = 28516573080. Its totient is φ = 5047460352.

The previous prime is 12646341601. The next prime is 12646341641. The reversal of 12646341640 is 4614364621.

12646341640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12641404356 + 4937284 = 112434^2 + 2222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12646341640.

It is not an unprimeable number, because it can be changed into a prime (12646341641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327627 + ... + 364186.

Almost surely, 212646341640 is an apocalyptic number.

12646341640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12646341640 is an abundant number, since it is smaller than the sum of its proper divisors (15870231440).

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

12646341640 is a wasteful number, since it uses less digits than its factorization.

12646341640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692281 (or 692277 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 12646341640 in words is "twelve billion, six hundred forty-six million, three hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 457 914 1828 2285 3656 4570 9140 18280 691813 1383626 2767252 3459065 5534504 6918130 13836260 27672520 316158541 632317082 1264634164 1580792705 2529268328 3161585410 6323170820 12646341640