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12006621645 = 3519472333847
BaseRepresentation
bin10110010111010011…
…01000000111001101
31010222202120120112120
423023221220013031
5144042143343040
65303223323153
7603351412554
oct131351500715
933882516476
1012006621645
115101474607
1223b0bb04b9
131194642765
1481c862d9b
154a412c7d0
hex2cba681cd

12006621645 has 64 divisors (see below), whose sum is σ = 20745953280. Its totient is φ = 5910409728.

The previous prime is 12006621547. The next prime is 12006621659. The reversal of 12006621645 is 54612660021.

12006621645 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 12006621645 - 218 = 12006359501 is a prime.

It is a super-3 number, since 3×120066216453 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3119112 + ... + 3122958.

It is an arithmetic number, because the mean of its divisors is an integer number (324155520).

Almost surely, 212006621645 is an apocalyptic number.

12006621645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12006621645 is a deficient number, since it is larger than the sum of its proper divisors (8739331635).

12006621645 is a wasteful number, since it uses less digits than its factorization.

12006621645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12006621645 in words is "twelve billion, six million, six hundred twenty-one thousand, six hundred forty-five".

Divisors: 1 3 5 15 19 47 57 95 141 233 235 285 699 705 893 1165 2679 3495 3847 4427 4465 10951 11541 13281 13395 19235 22135 32853 54755 57705 66405 73093 164265 180809 208069 219279 365465 542427 624207 896351 904045 1040345 1096395 2689053 2712135 3121035 3435371 4481755 10306113 13445265 17030669 17176855 42128497 51092007 51530565 85153345 126385491 210642485 255460035 631927455 800441443 2401324329 4002207215 12006621645