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12827336445 = 3357112112181
BaseRepresentation
bin10111111001001000…
…11001111011111101
31020002221220012121000
423330210121323331
5202232244231240
65520502200513
7632605363230
oct137444317375
936087805530
1012827336445
115492773800
12259ba23139
131295699211
14899861417
155011e7430
hex2fc919efd

12827336445 has 96 divisors (see below), whose sum is σ = 28646795520. Its totient is φ = 5330793600.

The previous prime is 12827336429. The next prime is 12827336447. The reversal of 12827336445 is 54463372821.

12827336445 is a `hidden beast` number, since 1 + 282 + 7 + 3 + 364 + 4 + 5 = 666.

It is not a de Polignac number, because 12827336445 - 24 = 12827336429 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 12827336445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12827336447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58255 + ... + 170435.

It is an arithmetic number, because the mean of its divisors is an integer number (298404120).

Almost surely, 212827336445 is an apocalyptic number.

12827336445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12827336445 is an abundant number, since it is smaller than the sum of its proper divisors (15819459075).

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

12827336445 is a wasteful number, since it uses less digits than its factorization.

12827336445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112224 (or 112207 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 12827336445 in words is "twelve billion, eight hundred twenty-seven million, three hundred thirty-six thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 121 135 165 189 231 297 315 363 385 495 605 693 847 945 1089 1155 1485 1815 2079 2541 3267 3465 4235 5445 7623 10395 12705 16335 22869 38115 112181 114345 336543 560905 785267 1009629 1233991 1682715 2355801 3028887 3701973 3926335 5048145 6169955 7067403 8637937 11105919 11779005 13573901 15144435 18509865 21202209 25913811 33317757 35337015 40721703 43189685 55529595 67869505 77741433 95017307 106011045 122165109 129569055 166588785 203608515 233224299 285051921 366495327 388707165 475086535 610825545 855155763 1166121495 1425259605 1832476635 2565467289 4275778815 12827336445