Search a number
-
+
86182140217 = 43101148113399
BaseRepresentation
bin101000001000011011…
…0110001100100111001
322020110011220100002011
41100100312301210321
52403000111441332
6103331434205521
76140450051005
oct1202066614471
9266404810064
1086182140217
1133605631578
12148522838a1
138185b73954
144257c3b705
1523960d3e47
hex1410db1939

86182140217 has 16 divisors (see below), whose sum is σ = 89126294400. Its totient is φ = 83281968000.

The previous prime is 86182140167. The next prime is 86182140259. The reversal of 86182140217 is 71204128168.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86182140217 is a prime.

It is a super-2 number, since 2×861821402172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86182140217.

It is not an unprimeable number, because it can be changed into a prime (86182140617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6425284 + ... + 6438682.

It is an arithmetic number, because the mean of its divisors is an integer number (5570393400).

Almost surely, 286182140217 is an apocalyptic number.

It is an amenable number.

86182140217 is a deficient number, since it is larger than the sum of its proper divisors (2944154183).

86182140217 is a wasteful number, since it uses less digits than its factorization.

86182140217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15024.

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 86182140217 in words is "eighty-six billion, one hundred eighty-two million, one hundred forty thousand, two hundred seventeen".

Divisors: 1 43 101 1481 4343 13399 63683 149581 576157 1353299 6431983 19843919 58191857 853288517 2004235819 86182140217