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12642424155 = 32519612231087
BaseRepresentation
bin10111100011000110…
…00001010101011011
31012122001221200121200
423301203001111123
5201342430033110
65450255005243
7625201555314
oct136143012533
935561850550
1012642424155
1153a8356429
122549b09823
13126629546a
1487d08960b
154ded6d6c0
hex2f18c155b

12642424155 has 96 divisors (see below), whose sum is σ = 23571824640. Its totient is φ = 6249104640.

The previous prime is 12642424147. The next prime is 12642424159. The reversal of 12642424155 is 55142424621.

12642424155 is a `hidden beast` number, since 1 + 2 + 642 + 4 + 2 + 4 + 1 + 5 + 5 = 666.

12642424155 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12642424155 - 23 = 12642424147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12642424159) 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 95 ways as a sum of consecutive naturals, for example, 11630022 + ... + 11631108.

It is an arithmetic number, because the mean of its divisors is an integer number (245539840).

Almost surely, 212642424155 is an apocalyptic number.

12642424155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12642424155 is a deficient number, since it is larger than the sum of its proper divisors (10929400485).

12642424155 is a wasteful number, since it uses less digits than its factorization.

12642424155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1398 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 12642424155 its reverse (55142424621), we get a palindrome (67784848776).

The spelling of 12642424155 in words is "twelve billion, six hundred forty-two million, four hundred twenty-four thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 19 45 57 61 95 171 183 223 285 305 549 669 855 915 1087 1115 1159 2007 2745 3261 3345 3477 4237 5435 5795 9783 10035 10431 12711 13603 16305 17385 20653 21185 38133 40809 48915 52155 61959 63555 66307 68015 103265 122427 185877 190665 198921 204045 242401 258457 309795 331535 596763 612135 727203 775371 929385 994605 1212005 1259833 1292285 2181609 2326113 2983815 3636015 3779499 3876855 4605619 6299165 10908045 11338497 11630565 13816857 14786461 18897495 23028095 41450571 44359383 56692485 69084285 73932305 133078149 207252855 221796915 280942759 665390745 842828277 1404713795 2528484831 4214141385 12642424155