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12630633645 = 357314798101
BaseRepresentation
bin10111100001101100…
…00010110010101101
31012121020202200002010
423300312002302231
5201331420234040
65445154151433
7624666420540
oct136066026255
935536680063
1012630633645
1153a1733003
122545b82579
1312639c7926
1487b69a857
154ddcdee80
hex2f0d82cad

12630633645 has 64 divisors (see below), whose sum is σ = 23893770240. Its totient is φ = 5575392000.

The previous prime is 12630633643. The next prime is 12630633677. The reversal of 12630633645 is 54633603621.

12630633645 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 12630633645 - 21 = 12630633643 is a prime.

It is a super-3 number, since 3×126306336453 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12630633641) 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 63 ways as a sum of consecutive naturals, for example, 1555095 + ... + 1563195.

It is an arithmetic number, because the mean of its divisors is an integer number (373340160).

Almost surely, 212630633645 is an apocalyptic number.

12630633645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12630633645 is a deficient number, since it is larger than the sum of its proper divisors (11263136595).

12630633645 is a wasteful number, since it uses less digits than its factorization.

12630633645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626.

The product of its (nonzero) digits is 233280, while the sum is 39.

It can be divided in two parts, 126306 and 33645, that added together give a palindrome (159951).

The spelling of 12630633645 in words is "twelve billion, six hundred thirty million, six hundred thirty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 465 479 651 1085 1437 2395 3255 3353 7185 8101 10059 14849 16765 24303 40505 44547 50295 56707 74245 103943 121515 170121 222735 251131 283535 311829 519715 753393 850605 1255655 1559145 1757917 3766965 3880379 5273751 8789585 11641137 19401895 26368755 27162653 58205685 81487959 120291749 135813265 360875247 407439795 601458745 842042243 1804376235 2526126729 4210211215 12630633645