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12143652640 = 255719356179
BaseRepresentation
bin10110100111101000…
…10110111100100000
31011100022102110201121
423103310112330200
5144332233341030
65325000342024
7606634226050
oct132364267440
934308373647
1012143652640
115171858a69
12242aa74914
1311b6b505a2
14832b33560
154b119947a
hex2d3d16f20

12143652640 has 96 divisors (see below), whose sum is σ = 32958334080. Its totient is φ = 4141891584.

The previous prime is 12143652637. The next prime is 12143652641. The reversal of 12143652640 is 4625634121.

12143652640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12143652596 and 12143652605.

It is not an unprimeable number, because it can be changed into a prime (12143652641) 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 15 ways as a sum of consecutive naturals, for example, 188071 + ... + 244249.

It is an arithmetic number, because the mean of its divisors is an integer number (343315980).

Almost surely, 212143652640 is an apocalyptic number.

12143652640 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 12143652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479167040).

12143652640 is an abundant number, since it is smaller than the sum of its proper divisors (20814681440).

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

12143652640 is a wasteful number, since it uses less digits than its factorization.

12143652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56394 (or 56386 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 12143652640 in words is "twelve billion, one hundred forty-three million, six hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 193 224 280 386 560 772 965 1120 1351 1544 1930 2702 3088 3860 5404 6176 6755 7720 10808 13510 15440 21616 27020 30880 43232 54040 56179 108080 112358 216160 224716 280895 393253 449432 561790 786506 898864 1123580 1573012 1797728 1966265 2247160 3146024 3932530 4494320 6292048 7865060 8988640 10842547 12584096 15730120 21685094 31460240 43370188 54212735 62920480 75897829 86740376 108425470 151795658 173480752 216850940 303591316 346961504 379489145 433701880 607182632 758978290 867403760 1214365264 1517956580 1734807520 2428730528 3035913160 6071826320 12143652640