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212627716509 = 31319364743661
BaseRepresentation
bin1100011000000110011…
…0010111100110011101
3202022211101120011000110
43012001212113212131
511440430143412014
6241402501520233
721235053525015
oct3060146274635
9668741504013
10212627716509
11821a189154a
1235260713079
1317087535090
14a41121cc45
1557e6d89d59
hex318199799d

212627716509 has 32 divisors (see below), whose sum is σ = 307374891264. Its totient is φ = 129965690880.

The previous prime is 212627716501. The next prime is 212627716519. The reversal of 212627716509 is 905617726212.

212627716509 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 212627716509 - 23 = 212627716501 is a prime.

It is a super-2 number, since 2×2126277165092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212627716501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4848139 + ... + 4891799.

It is an arithmetic number, because the mean of its divisors is an integer number (9605465352).

Almost surely, 2212627716509 is an apocalyptic number.

It is an amenable number.

212627716509 is a deficient number, since it is larger than the sum of its proper divisors (94747174755).

212627716509 is a wasteful number, since it uses less digits than its factorization.

212627716509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44517.

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 212627716509 in words is "two hundred twelve billion, six hundred twenty-seven million, seven hundred sixteen thousand, five hundred nine".

Divisors: 1 3 13 39 193 579 647 1941 2509 7527 8411 25233 43661 124871 130983 374613 567593 1623323 1702779 4869969 8426573 25279719 28248667 84746001 109545449 328636347 367232671 1101698013 5451992731 16355978193 70875905503 212627716509