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212064080076351 = 3512719146178041
BaseRepresentation
bin110000001101111100000100…
…001010011001111000111111
31000210212010110100200022200000
4300031330010022121320333
5210243424213444420401
62031004520554005343
762445060411103206
oct6015740412317077
91023763410608600
10212064080076351
116162a964781a38
121b94b533416853
1391437317b63b9
143a51d55cd223d
15197b417a04186
hexc0df04299e3f

212064080076351 has 96 divisors (see below), whose sum is σ = 322539529568256. Its totient is φ = 139224046752000.

The previous prime is 212064080076323. The next prime is 212064080076353. The reversal of 212064080076351 is 153670080460212.

212064080076351 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 6 + 4 + 0 + 8 + 0 + 0 + 7 + 635 + 1 = 666.

212064080076351 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 212064080076351 - 231 = 212061932592703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212064080076297 and 212064080076306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212064080076353) 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, 2717302891 + ... + 2717380931.

It is an arithmetic number, because the mean of its divisors is an integer number (3359786766336).

Almost surely, 2212064080076351 is an apocalyptic number.

212064080076351 is a deficient number, since it is larger than the sum of its proper divisors (110475449491905).

212064080076351 is a wasteful number, since it uses less digits than its factorization.

212064080076351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78835 (or 78823 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 212064080076351 in words is "two hundred twelve trillion, sixty-four billion, eighty million, seventy-six thousand, three hundred fifty-one".

Divisors: 1 3 9 27 81 127 191 243 381 461 573 1143 1383 1719 3429 4149 5157 10287 12447 15471 24257 30861 37341 46413 58547 72771 78041 88051 112023 175641 218313 234123 264153 526923 654939 702369 792459 1580769 1964817 2107107 2377377 4742307 5894451 6321321 7132131 9911207 11182477 14226921 14905831 18963963 21396393 29733621 33547431 35976901 44717493 89200863 100642293 107930703 134152479 267602589 301926879 323792109 402457437 802807767 905780637 971376327 1207372311 1893040537 2408423301 2717341911 2914128981 3622116933 4569066427 5679121611 6871588091 8742386943 13707199281 17037364833 20614764273 41121597843 51112094499 61844292819 123364793529 153336283497 185532878457 370094380587 460008850491 556598635371 872691687557 1110283141761 1669795906113 2618075062671 7854225188013 23562675564039 70688026692117 212064080076351