Search a number
-
+
85710174169 = 47262292
BaseRepresentation
bin100111111010010111…
…0010111011111011001
322012020021210222101011
41033310232113133121
52401013301033134
6103212534253521
76122656313464
oct1176456273731
9265207728334
1085710174169
1133393182494
12147401b72a1
13810c1559b9
1442112a22db
152369957264
hex13f4b977d9

85710174169 has 9 divisors (see below), whose sum is σ = 87586656447. Its totient is φ = 83873086344.

The previous prime is 85710174149. The next prime is 85710174197. The reversal of 85710174169 is 96147101758.

The square root of 85710174169 is 292763.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43331834569 + 42378339600 = 208163^2 + 205860^2 .

It is not a de Polignac number, because 85710174169 - 227 = 85575956441 is a prime.

It is a super-2 number, since 2×857101741692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85710174149) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13756747 + ... + 13762975.

Almost surely, 285710174169 is an apocalyptic number.

85710174169 is the 292763-rd square number.

85710174169 is the 146382-nd centered octagonal number.

It is an amenable number.

85710174169 is a deficient number, since it is larger than the sum of its proper divisors (1876482278).

85710174169 is an frugal number, since it uses more digits than its factorization.

85710174169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 49.

Multiplying 85710174169 by its sum of digits (49), we get a square (4199798534281 = 20493412).

The spelling of 85710174169 in words is "eighty-five billion, seven hundred ten million, one hundred seventy-four thousand, one hundred sixty-nine".

Divisors: 1 47 2209 6229 292763 13759861 38800441 1823620727 85710174169