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645228822546 = 233721122168241
BaseRepresentation
bin10010110001110101010…
…00101000000000010010
32021200110002212022002000
421120322220220000102
541032412034310141
61212225232534430
764421241333300
oct11307250500022
92250402768060
10645228822546
11229704938390
12a50719b1416
1348aca0a79b9
142332d079270
1511bb590a5b6
hex963aa28012

645228822546 has 96 divisors (see below), whose sum is σ = 1819569303360. Its totient is φ = 167591894400.

The previous prime is 645228822533. The next prime is 645228822643.

645228822546 is a `hidden beast` number, since 6 + 4 + 52 + 28 + 8 + 22 + 546 = 666.

645228822546 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 645228822492 and 645228822501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11055015 + ... + 11113226.

It is an arithmetic number, because the mean of its divisors is an integer number (18953846910).

Almost surely, 2645228822546 is an apocalyptic number.

645228822546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

645228822546 is an abundant number, since it is smaller than the sum of its proper divisors (1174340480814).

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

645228822546 is a wasteful number, since it uses less digits than its factorization.

645228822546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22168277 (or 22168264 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 645228822546 in words is "six hundred forty-five billion, two hundred twenty-eight million, eight hundred twenty-two thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1078 1323 1386 1617 2079 2646 3234 4158 4851 9702 14553 29106 22168241 44336482 66504723 133009446 155177687 199514169 243850651 310355374 399028338 465533061 487701302 598542507 731551953 931066122 1086243809 1197085014 1396599183 1463103906 1706954557 2172487618 2194655859 2793198366 3258731427 3413909114 4189797549 4389311718 5120863671 6517462854 6583967577 8379595098 9776194281 10241727342 11948681899 13167935154 15362591013 19552388562 23897363798 29328582843 30725182026 35846045697 46087773039 58657165686 71692091394 92175546078 107538137091 215076274182 322614411273 645228822546