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12840023007 = 3271742128477
BaseRepresentation
bin10111111010101001…
…10011001111011111
31020010211202202021200
423331110303033133
5202244021214012
65522034130543
7633121252260
oct137524631737
936124682250
1012840023007
115499949369
1225a4120a53
1312981bb866
1489b404967
155023a13dc
hex2fd5333df

12840023007 has 48 divisors (see below), whose sum is σ = 22497164352. Its totient is φ = 6888913920.

The previous prime is 12840022963. The next prime is 12840023011. The reversal of 12840023007 is 70032004821.

12840023007 is a `hidden beast` number, since 1 + 28 + 400 + 230 + 0 + 7 = 666.

It is not a de Polignac number, because 12840023007 - 28 = 12840022751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12840023017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436653 + ... + 465129.

It is an arithmetic number, because the mean of its divisors is an integer number (468690924).

Almost surely, 212840023007 is an apocalyptic number.

12840023007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12840023007 is a deficient number, since it is larger than the sum of its proper divisors (9657141345).

12840023007 is a wasteful number, since it uses less digits than its factorization.

12840023007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28928 (or 28925 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 12840023007 its reverse (70032004821), we get a palindrome (82872027828).

The spelling of 12840023007 in words is "twelve billion, eight hundred forty million, twenty-three thousand, seven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 421 1071 1263 2947 3789 7157 8841 21471 26523 28477 50099 64413 85431 150297 199339 256293 450891 484109 598017 1452327 1794051 3388763 4356981 10166289 11988817 30498867 35966451 83921719 107899353 203809889 251765157 611429667 755295471 1426669223 1834289001 4280007669 12840023007