Search a number
-
+
42692135139 = 32172192929789
BaseRepresentation
bin100111110000101001…
…100100100011100011
311002012021210011122100
4213300221210203203
51144413141311024
631340144341443
73040644106203
oct476051444343
9132167704570
1042692135139
1117118663015
128335614883
134044a44234
1420cdd54403
15119d0167c9
hex9f0a648e3

42692135139 has 72 divisors (see below), whose sum is σ = 71335134000. Its totient is φ = 24501464064.

The previous prime is 42692135117. The next prime is 42692135141. The reversal of 42692135139 is 93153129624.

42692135139 is a `hidden beast` number, since 4 + 269 + 2 + 1 + 351 + 39 = 666.

It is not a de Polignac number, because 42692135139 - 29 = 42692134627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42692135094 and 42692135103.

It is not an unprimeable number, because it can be changed into a prime (42692135639) 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 71 ways as a sum of consecutive naturals, for example, 1418257 + ... + 1448045.

It is an arithmetic number, because the mean of its divisors is an integer number (990765750).

Almost surely, 242692135139 is an apocalyptic number.

42692135139 is a deficient number, since it is larger than the sum of its proper divisors (28642998861).

42692135139 is a wasteful number, since it uses less digits than its factorization.

42692135139 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29877 (or 29857 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 42692135139 in words is "forty-two billion, six hundred ninety-two million, one hundred thirty-five thousand, one hundred thirty-nine".

Divisors: 1 3 9 17 19 29 51 57 87 153 171 261 289 323 493 551 867 969 1479 1653 2601 2907 4437 4959 5491 8381 9367 16473 25143 28101 29789 49419 75429 84303 89367 159239 268101 477717 506413 565991 863881 1433151 1519239 1697973 2591643 4557717 5093919 7774929 8609021 9621847 14685977 16413739 25827063 28865541 44057931 49241217 77481189 86596623 132173793 147723651 163571399 249661609 279033563 490714197 748984827 837100689 1472142591 2246954481 2511302067 4743570571 14230711713 42692135139