Search a number
-
+
107429817471 = 3199496736229
BaseRepresentation
bin110010000001101010…
…0001110110001111111
3101021021222011011202120
41210003110032301333
53230004013124341
6121204053454023
710522132244634
oct1440324166177
9337258134676
10107429817471
1141619370a19
12189a2041313
13a190b96b42
1452b1b0418b
152bdb657066
hex190350ec7f

107429817471 has 16 divisors (see below), whose sum is σ = 143992512000. Its totient is φ = 71243666208.

The previous prime is 107429817463. The next prime is 107429817479. The reversal of 107429817471 is 174718924701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107429817463) and next prime (107429817479).

It is not a de Polignac number, because 107429817471 - 23 = 107429817463 is a prime.

It is a super-3 number, since 3×1074298174713 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107429817479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2947185 + ... + 2983413.

It is an arithmetic number, because the mean of its divisors is an integer number (8999532000).

Almost surely, 2107429817471 is an apocalyptic number.

107429817471 is a deficient number, since it is larger than the sum of its proper divisors (36562694529).

107429817471 is a wasteful number, since it uses less digits than its factorization.

107429817471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41398.

The product of its (nonzero) digits is 790272, while the sum is 51.

The spelling of 107429817471 in words is "one hundred seven billion, four hundred twenty-nine million, eight hundred seventeen thousand, four hundred seventy-one".

Divisors: 1 3 199 597 4967 14901 36229 108687 988433 2965299 7209571 21628713 179949443 539848329 35809939157 107429817471