Search a number
-
+
312833466164180 = 225131203205639093
BaseRepresentation
bin100011100100001010011011…
…1100111111110001111010100
31112000122120212010122201101102
41013020110313213332033110
5312000430414314223210
63025201413234445232
7122615320631140313
oct10710246747761724
91460576763581342
10312833466164180
1190750a23109545
122b10527aa33818
13105730b9286880
14573731329627a
1526277b2b21ea5
hex11c85379fe3d4

312833466164180 has 24 divisors (see below), whose sum is σ = 707484915787272. Its totient is φ = 115507741352832.

The previous prime is 312833466164159. The next prime is 312833466164183. The reversal of 312833466164180 is 81461664338213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26984991205264 + 285848474958916 = 5194708^2 + 16907054^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312833466164183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601602819287 + ... + 601602819806.

It is an arithmetic number, because the mean of its divisors is an integer number (29478538157803).

Almost surely, 2312833466164180 is an apocalyptic number.

It is an amenable number.

312833466164180 is an abundant number, since it is smaller than the sum of its proper divisors (394651449623092).

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

312833466164180 is a wasteful number, since it uses less digits than its factorization.

312833466164180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203205639115 (or 1203205639113 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 56.

The spelling of 312833466164180 in words is "three hundred twelve trillion, eight hundred thirty-three billion, four hundred sixty-six million, one hundred sixty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1203205639093 2406411278186 4812822556372 6016028195465 12032056390930 15641673308209 24064112781860 31283346616418 62566693232836 78208366541045 156416733082090 312833466164180