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42724843605 = 345102712
BaseRepresentation
bin100111110010100110…
…010110000001010101
311002021120022221020000
4213302212112001111
51200000024443410
631343313401513
73041522115153
oct476246260125
9132246287200
1042724843605
1117135073404
128344569299
13404b756c62
1420d442a3d3
1511a0d27dc0
hex9f2996055

42724843605 has 30 divisors (see below), whose sum is σ = 76595695638. Its totient is φ = 22784364720.

The previous prime is 42724843573. The next prime is 42724843613. The reversal of 42724843605 is 50634842724.

It is a happy number.

42724843605 is a `hidden beast` number, since 42 + 7 + 248 + 4 + 360 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34179874884 + 8544968721 = 184878^2 + 92439^2 .

It is not a de Polignac number, because 42724843605 - 25 = 42724843573 is a prime.

It is a super-2 number, since 2×427248436052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 4154620 + ... + 4164890.

Almost surely, 242724843605 is an apocalyptic number.

42724843605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42724843605 is a deficient number, since it is larger than the sum of its proper divisors (33870852033).

42724843605 is an frugal number, since it uses more digits than its factorization.

42724843605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20559 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

Multiplying 42724843605 by its sum of digits (45), we get a square (1922617962225 = 13865852).

42724843605 divided by its sum of digits (45) gives a square (949440969 = 308132).

The spelling of 42724843605 in words is "forty-two billion, seven hundred twenty-four million, eight hundred forty-three thousand, six hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 10271 30813 51355 92439 154065 277317 462195 831951 1386585 4159755 105493441 316480323 527467205 949440969 1582401615 2848322907 4747204845 8544968721 14241614535 42724843605