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42336793528929 = 32251286412
BaseRepresentation
bin10011010000001010011011…
…00010100000101001100001
312112220100122221012211010100
421220011031202200221201
521022121223120411204
6230013130543253013
711626506132233664
oct1150051542405141
9175810587184110
1042336793528929
1112542a2a257aa9
1248b91a25aa169
131a8145b616c13
14a6517c8876db
154d6425614a39
hex26814d8a0a61

42336793528929 has 27 divisors (see below), whose sum is σ = 61404861132147. Its totient is φ = 28108827360000.

The previous prime is 42336793528907. The next prime is 42336793528973. The reversal of 42336793528929 is 92982539763324.

The square root of 42336793528929 is 6506673.

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

42336793528929 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 6 + 7 + 9 + 3 + 528 + 92 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1177383415329 + 41159410113600 = 1085073^2 + 6415560^2 .

It is a de Polignac number, because none of the positive numbers 2k-42336793528929 is a prime.

It is a super-2 number, since 2×423367935289292 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42336793520929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4899520449 + ... + 4899529089.

Almost surely, 242336793528929 is an apocalyptic number.

42336793528929 is the 6506673-rd square number.

42336793528929 is the 3253337-th centered octagonal number.

It is an amenable number.

42336793528929 is a deficient number, since it is larger than the sum of its proper divisors (19068067603218).

42336793528929 is an frugal number, since it uses more digits than its factorization.

42336793528929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17790 (or 8895 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 42336793528929 in words is "forty-two trillion, three hundred thirty-six billion, seven hundred ninety-three million, five hundred twenty-eight thousand, nine hundred twenty-nine".

Divisors: 1 3 9 251 753 2259 8641 25923 63001 77769 189003 567009 2168891 6506673 19520019 74666881 224000643 544391641 672001929 1633174923 4899524769 18741387131 56224161393 168672484179 4704088169881 14112264509643 42336793528929