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331282216485 = 3251117180121859
BaseRepresentation
bin1001101001000011111…
…01010111011000100101
31011200002121221021110200
410310201331113120211
520411431221411420
6412104451341113
732635324243563
oct4644175273045
91150077837420
10331282216485
111185501a1580
12542558b1799
1325316a4338c
141206999ca33
15893db63b90
hex4d21f57625

331282216485 has 96 divisors (see below), whose sum is σ = 663671698560. Its totient is φ = 151082496000.

The previous prime is 331282216483. The next prime is 331282216493. The reversal of 331282216485 is 584612282133.

331282216485 is a `hidden beast` number, since 3 + 312 + 82 + 216 + 48 + 5 = 666.

It is not a de Polignac number, because 331282216485 - 21 = 331282216483 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 331282216485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331282216483) 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, 15144486 + ... + 15166344.

It is an arithmetic number, because the mean of its divisors is an integer number (6913246860).

Almost surely, 2331282216485 is an apocalyptic number.

It is an amenable number.

331282216485 is an abundant number, since it is smaller than the sum of its proper divisors (332389482075).

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

331282216485 is a wasteful number, since it uses less digits than its factorization.

331282216485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23699 (or 23696 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 331282216485 in words is "three hundred thirty-one billion, two hundred eighty-two million, two hundred sixteen thousand, four hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 1801 2805 5403 8415 9005 16209 19811 21859 27015 30617 59433 65577 81045 91851 99055 109295 153085 178299 196731 240449 275553 297165 327885 336787 371603 459255 721347 891495 983655 1010361 1114809 1202245 1377765 1683935 1858015 2164041 3031083 3344427 3606735 4087633 5051805 5574045 10820205 12262899 15155415 16722135 20438165 36788697 39368059 61314495 118104177 183943485 196840295 354312531 433048649 590520885 669257003 1299145947 1771562655 2007771009 2165243245 3346285015 3897437841 6023313027 6495729735 7361827033 10038855045 19487189205 22085481099 30116565135 36809135165 66256443297 110427405495 331282216485