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162320391212004 = 22321117219012
BaseRepresentation
bin100100111010000100101001…
…010000100000101111100100
3210021201200022011010211012100
4210322010221100200233210
5132233424130122241004
61333120542553452100
746122155420146164
oct4472045120405744
9707650264124170
10162320391212004
11477a1767178793
1216256942711030
136c759938175cc
142c124c537a5a4
1513b74d4ca4739
hex93a129420be4

162320391212004 has 81 divisors (see below), whose sum is σ = 410893684685211. Its totient is φ = 54029920881600.

The previous prime is 162320391211981. The next prime is 162320391212101. The reversal of 162320391212004 is 400212193023261.

The square root of 162320391212004 is 12740502.

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

162320391212004 is a `hidden beast` number, since 1 + 6 + 2 + 320 + 3 + 9 + 121 + 200 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124334765302500 + 37985625909504 = 11150550^2 + 6163248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 162320391212004.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 85386843454 + ... + 85386845354.

Almost surely, 2162320391212004 is an apocalyptic number.

162320391212004 is the 12740502-nd square number.

It is an amenable number.

162320391212004 is an abundant number, since it is smaller than the sum of its proper divisors (248573293473207).

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

162320391212004 is an frugal number, since it uses more digits than its factorization.

162320391212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

162320391212004 divided by its sum of digits (36) gives a square (4508899755889 = 21234172).

The spelling of 162320391212004 in words is "one hundred sixty-two trillion, three hundred twenty billion, three hundred ninety-one million, two hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1117 1901 2234 3351 3802 4468 5703 6702 7604 10053 11406 13404 17109 20106 22812 34218 40212 68436 1247689 2123417 2495378 3613801 3743067 4246834 4990756 6370251 7227602 7486134 8493668 10841403 11229201 12740502 14455204 14972268 19110753 21682806 22458402 25481004 32524209 38221506 43365612 44916804 65048418 76443012 130096836 2371856789 4036615717 4743713578 7115570367 8073231434 9487427156 12109847151 14231140734 16146462868 21346711101 24219694302 28462281468 36329541453 42693422202 48439388604 72659082906 85386844404 145318165812 4508899755889 9017799511778 13526699267667 18035599023556 27053398535334 40580097803001 54106797070668 81160195606002 162320391212004