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42605607231 = 351159326879
BaseRepresentation
bin100111101011011111…
…011111100100111111
311001222020222002200000
4213223133133210333
51144224013412411
631323414005343
73035543454225
oct475337374477
9131866862600
1042605607231
1117083833350
128310646853
13402cb397a5
1420c266cb15
151195623956
hex9eb7df93f

42605607231 has 48 divisors (see below), whose sum is σ = 69742632960. Its totient is φ = 25777077120.

The previous prime is 42605607229. The next prime is 42605607241. The reversal of 42605607231 is 13270650624.

42605607231 is a `hidden beast` number, since 4 + 2 + 60 + 560 + 7 + 2 + 31 = 666.

It is not a de Polignac number, because 42605607231 - 21 = 42605607229 is a prime.

It is a super-2 number, since 2×426056072312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42605607241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1571650 + ... + 1598528.

It is an arithmetic number, because the mean of its divisors is an integer number (1452971520).

Almost surely, 242605607231 is an apocalyptic number.

42605607231 is a deficient number, since it is larger than the sum of its proper divisors (27137025729).

42605607231 is a wasteful number, since it uses less digits than its factorization.

42605607231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27498 (or 27486 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 42605607231 in words is "forty-two billion, six hundred five million, six hundred seven thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 593 891 1779 2673 5337 6523 16011 19569 26879 48033 58707 80637 144099 176121 241911 295669 528363 725733 887007 1585089 2177199 2661021 6531597 7983063 15939247 23949189 47817741 71847567 143453223 175331717 430359669 525995151 1291079007 1577985453 3873237021 4733956359 14201869077 42605607231