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12652879005 = 3251341527533
BaseRepresentation
bin10111100100010101…
…11001110010011101
31012122210121211222100
423302022321302131
5201403114112010
65451311035313
7625356461034
oct136212716235
935583554870
1012652879005
1154032472a8
12255150bb39
1312684b6070
1488060b71b
154e0c362c0
hex2f22b9c9d

12652879005 has 48 divisors (see below), whose sum is σ = 24194819376. Its totient is φ = 6077168640.

The previous prime is 12652878971. The next prime is 12652879009. The reversal of 12652879005 is 50097825621.

It can be written as a sum of positive squares in 8 ways, for example, as 4137834276 + 8515044729 = 64326^2 + 92277^2 .

It is not a de Polignac number, because 12652879005 - 212 = 12652874909 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12652879009) 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 47 ways as a sum of consecutive naturals, for example, 239782 + ... + 287751.

It is an arithmetic number, because the mean of its divisors is an integer number (504058737).

Almost surely, 212652879005 is an apocalyptic number.

12652879005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12652879005 is a deficient number, since it is larger than the sum of its proper divisors (11541940371).

12652879005 is a wasteful number, since it uses less digits than its factorization.

12652879005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527598 (or 527595 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12652879005 in words is "twelve billion, six hundred fifty-two million, eight hundred seventy-nine thousand, five".

Divisors: 1 3 5 9 13 15 39 41 45 65 117 123 195 205 369 533 585 615 1599 1845 2665 4797 7995 23985 527533 1582599 2637665 4747797 6857929 7912995 20573787 21628853 23738985 34289645 61721361 64886559 102868935 108144265 194659677 281175089 308606805 324432795 843525267 973298385 1405875445 2530575801 4217626335 12652879005