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645842071449 = 321922326132
BaseRepresentation
bin10010110010111110010…
…11111110111110011001
32021202000211210120102100
421121133023332332121
541040141032241244
61212410140554013
764442366013051
oct11313713767631
92252024716370
10645842071449
1122999a015363
12a5203252909
1348b97161b83
142338a6b0561
1511bee693b69
hex965f2fef99

645842071449 has 81 divisors (see below), whose sum is σ = 1030916424447. Its totient is φ = 389528976672.

The previous prime is 645842071447. The next prime is 645842071489. The reversal of 645842071449 is 944170248546.

The square root of 645842071449 is 803643.

It is a perfect power (a square), and thus also a powerful number.

645842071449 is a `hidden beast` number, since 6 + 4 + 584 + 2 + 0 + 7 + 14 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2105433225 + 643736638224 = 45885^2 + 802332^2 .

It is not a de Polignac number, because 645842071449 - 21 = 645842071447 is a prime.

It is a super-2 number, since 2×6458420714492 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 645842071395 and 645842071404.

It is not an unprimeable number, because it can be changed into a prime (645842071447) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1053575667 + ... + 1053576279.

Almost surely, 2645842071449 is an apocalyptic number.

645842071449 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

645842071449 is the 803643-rd square number.

645842071449 is the 401822-nd centered octagonal number.

It is an amenable number.

645842071449 is a deficient number, since it is larger than the sum of its proper divisors (385074352998).

645842071449 is an equidigital number, since it uses as much as digits as its factorization.

645842071449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 645842071449 in words is "six hundred forty-five billion, eight hundred forty-two million, seventy-one thousand, four hundred forty-nine".

Divisors: 1 3 9 19 23 57 69 171 207 361 437 529 613 1083 1311 1587 1839 3249 3933 4761 5517 8303 10051 11647 14099 24909 30153 34941 42297 74727 90459 104823 126891 190969 221293 267881 324277 375769 572907 663879 803643 972831 1127307 1718721 1991637 2410929 2918493 3381921 5089739 6161263 7139611 8642687 15269217 18483789 21418833 25928061 45807651 55451367 64256499 77784183 117063997 135652609 164211053 198781801 351191991 406957827 492633159 596345403 1053575973 1220873481 1477899477 1789036209 3120010007 3776854219 9360030021 11330562657 28080090063 33991687971 71760230161 215280690483 645842071449