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212683388435 = 57217232220193
BaseRepresentation
bin1100011000010011101…
…0101111011000010011
3202022222021022120112122
43012010322233120103
511441033421412220
6241412211044455
721236330654600
oct3060472573023
9668867276478
10212683388435
1182220256701
12352772a072b
1317095c2804b
14a4187916a7
1557ebbd5425
hex3184eaf613

212683388435 has 48 divisors (see below), whose sum is σ = 328020342336. Its totient is φ = 131293274112.

The previous prime is 212683388399. The next prime is 212683388447. The reversal of 212683388435 is 534883386212.

212683388435 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 212683388435 - 216 = 212683322899 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1014302 + ... + 1205891.

It is an arithmetic number, because the mean of its divisors is an integer number (6833757132).

Almost surely, 2212683388435 is an apocalyptic number.

212683388435 is a deficient number, since it is larger than the sum of its proper divisors (115336953901).

212683388435 is a wasteful number, since it uses less digits than its factorization.

212683388435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220252 (or 2220245 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 53.

The spelling of 212683388435 in words is "two hundred twelve billion, six hundred eighty-three million, three hundred eighty-eight thousand, four hundred thirty-five".

Divisors: 1 5 7 17 23 35 49 85 115 119 161 245 391 595 805 833 1127 1955 2737 4165 5635 13685 19159 95795 2220193 11100965 15541351 37743281 51064439 77706755 108789457 188716405 255322195 264202967 357451073 543947285 868095463 1321014835 1787255365 1849420769 2502157511 4340477315 6076668241 9247103845 12510787555 30383341205 42536677687 212683388435