Search a number
-
+
86273912106 = 2341453366521
BaseRepresentation
bin101000001011001010…
…0110110110100101010
322020200120120211110000
41100112110312310222
52403142110141411
6103344513203430
76142643103354
oct1202624666452
9266616524400
1086273912106
1133652413108
1214878b60576
13819bb96245
1442660ca0d4
15239e1b0956
hex1416536d2a

86273912106 has 40 divisors (see below), whose sum is σ = 193451044644. Its totient is φ = 28738100160.

The previous prime is 86273912099. The next prime is 86273912141. The reversal of 86273912106 is 60121937268.

86273912106 is a `hidden beast` number, since 8 + 627 + 3 + 9 + 1 + 2 + 10 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68351396481 + 17922515625 = 261441^2 + 133875^2 .

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 19 ways as a sum of consecutive naturals, for example, 52126 + ... + 418646.

Almost surely, 286273912106 is an apocalyptic number.

86273912106 is an abundant number, since it is smaller than the sum of its proper divisors (107177132538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86273912106 is a wasteful number, since it uses less digits than its factorization.

86273912106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367988 (or 367979 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 86273912106 in words is "eighty-six billion, two hundred seventy-three million, nine hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 1453 2906 4359 8718 13077 26154 39231 78462 117693 235386 366521 733042 1099563 2199126 3298689 6597378 9896067 19792134 29688201 59376402 532555013 1065110026 1597665039 3195330078 4792995117 9585990234 14378985351 28757970702 43136956053 86273912106