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12152883645 = 3257192577901
BaseRepresentation
bin10110101000101111…
…00100100110111101
31011100221210110021200
423110113210212331
5144342114234040
65325530250113
7610105543440
oct132427444675
934327713250
1012152883645
115176a933a1
122431b86939
1311b8a33116
14834057657
154b1dbe630
hex2d45e49bd

12152883645 has 96 divisors (see below), whose sum is σ = 25443175680. Its totient is φ = 5242060800.

The previous prime is 12152883601. The next prime is 12152883679. The reversal of 12152883645 is 54638825121.

12152883645 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 288 + 364 + 5 = 666.

It is not a de Polignac number, because 12152883645 - 211 = 12152881597 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12152883645.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1534195 + ... + 1542095.

It is an arithmetic number, because the mean of its divisors is an integer number (265033080).

Almost surely, 212152883645 is an apocalyptic number.

12152883645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12152883645 is an abundant number, since it is smaller than the sum of its proper divisors (13290292035).

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

12152883645 is a wasteful number, since it uses less digits than its factorization.

12152883645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8192 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 12152883645 in words is "twelve billion, one hundred fifty-two million, eight hundred eighty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 257 285 315 399 665 771 855 1197 1285 1799 1995 2313 3855 4883 5397 5985 7901 8995 11565 14649 16191 23703 24415 26985 34181 39505 43947 55307 71109 73245 80955 102543 118515 150119 165921 170905 219735 276535 307629 355545 450357 497763 512715 750595 829605 1050833 1351071 1538145 2030557 2251785 2488815 3152499 5254165 6091671 6755355 9457497 10152785 14213899 15762495 18275013 30458355 38580583 42641697 47287485 71069495 91375065 115741749 127925091 192902915 213208485 270064081 347225247 578708745 639625455 810192243 1350320405 1736126235 2430576729 4050961215 12152883645