Search a number
-
+
162642345160 = 23543106189123
BaseRepresentation
bin1001011101111000111…
…1010011110011001000
3120112210211021012010111
42113132033103303020
510131042420021120
6202414501524104
714515300060261
oct2273617236310
9515724235114
10162642345160
1162a81400199
1227630713634
131244c817979
147c2c819968
15436d93475a
hex25de3d3cc8

162642345160 has 64 divisors (see below), whose sum is σ = 374812764480. Its totient is φ = 63483383040.

The previous prime is 162642345143. The next prime is 162642345179. The reversal of 162642345160 is 61543246261.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780359 + ... + 1869481.

It is an arithmetic number, because the mean of its divisors is an integer number (5856449445).

Almost surely, 2162642345160 is an apocalyptic number.

162642345160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162642345160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187406382240).

162642345160 is an abundant number, since it is smaller than the sum of its proper divisors (212170419320).

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

162642345160 is a wasteful number, since it uses less digits than its factorization.

162642345160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90238 (or 90234 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 162642345160 in words is "one hundred sixty-two billion, six hundred forty-two million, three hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1061 1720 2122 4244 5305 8488 10610 21220 42440 45623 89123 91246 178246 182492 228115 356492 364984 445615 456230 712984 891230 912460 1782460 1824920 3564920 3832289 7664578 15329156 19161445 30658312 38322890 76645780 94559503 153291560 189119006 378238012 472797515 756476024 945595030 1891190060 3782380120 4066058629 8132117258 16264234516 20330293145 32528469032 40660586290 81321172580 162642345160