Search a number
-
+
166040955233343 = 328910716087120427
BaseRepresentation
bin100101110000001101101100…
…001001111010010000111111
3210202220100201122202000110100
4211300031230021322100333
5133230403334014431333
61345050054541012143
746655030441423631
oct4560155411722077
9722810648660410
10166040955233343
11489a6634606713
1216757a23b54053
137185796c9b5b8
142d005d471ca51
15142e18dace213
hex97036c27a43f

166040955233343 has 48 divisors (see below), whose sum is σ = 244815634103040. Its totient is φ = 108419678091648.

The previous prime is 166040955233317. The next prime is 166040955233353. The reversal of 166040955233343 is 343332559040661.

166040955233343 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 40 + 9 + 5 + 523 + 33 + 43 = 666.

166040955233343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 128856882-1.

It is not a de Polignac number, because 166040955233343 - 222 = 166040951039039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 166040955233343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166040955233353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1378708296 + ... + 1378828722.

It is an arithmetic number, because the mean of its divisors is an integer number (5100325710480).

Almost surely, 2166040955233343 is an apocalyptic number.

166040955233343 is a deficient number, since it is larger than the sum of its proper divisors (78774678869697).

166040955233343 is a wasteful number, since it uses less digits than its factorization.

166040955233343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136716 (or 136713 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 166040955233343 in words is "one hundred sixty-six trillion, forty billion, nine hundred fifty-five million, two hundred thirty-three thousand, three hundred forty-three".

Divisors: 1 3 9 89 107 267 321 801 963 9523 16087 28569 48261 85707 120427 144783 361281 1083843 1431743 1721309 4295229 5163927 10718003 12885687 12885689 15491781 32154009 38657067 96462027 115971201 153196501 459589503 1146826321 1378768509 1937309149 3440478963 5811927447 10321436889 17435782341 172420514261 207292078943 517261542783 621876236829 1551784628349 1865628710487 18448995025927 55346985077781 166040955233343