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162142562421 = 32723795572543
BaseRepresentation
bin1001011100000001110…
…0110010100001110101
3120111111222211121002200
42113000130302201311
510124031443444141
6202253125455113
714500021016610
oct2270034624165
9514458747080
10162142562421
1162845282004
1227511271499
13123a010a738
147bc22bd177
15433eb10ab6
hex25c0732875

162142562421 has 96 divisors (see below), whose sum is σ = 283456143360. Its totient is φ = 87311233152.

The previous prime is 162142562411. The next prime is 162142562453. The reversal of 162142562421 is 124265241261.

162142562421 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 4 + 2 + 5 + 624 + 21 = 666.

It is not a de Polignac number, because 162142562421 - 29 = 162142561909 is a prime.

It is a super-3 number, since 3×1621425624213 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162142562401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63759076 + ... + 63761618.

It is an arithmetic number, because the mean of its divisors is an integer number (2952668160).

Almost surely, 2162142562421 is an apocalyptic number.

It is an amenable number.

162142562421 is a deficient number, since it is larger than the sum of its proper divisors (121313580939).

162142562421 is a wasteful number, since it uses less digits than its factorization.

162142562421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3212 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 162142562421 in words is "one hundred sixty-two billion, one hundred forty-two million, five hundred sixty-two thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 23 63 69 79 161 207 237 483 553 557 711 1449 1659 1671 1817 2543 3899 4977 5013 5451 7629 11697 12719 12811 16353 17801 22887 35091 38157 38433 44003 53403 58489 89677 114471 115299 132009 160209 175467 200897 269031 308021 396027 409423 526401 602691 807093 924063 1012069 1228269 1406279 1416451 1808073 2772189 3036207 3684807 4218837 4249353 4620631 7084483 9108621 9915157 12656511 12748059 13861893 21253449 29745471 32344417 32578373 41585679 63760347 89236413 97033251 97735119 111899629 228048611 291099753 293205357 335698887 684145833 783297403 1007096661 2052437499 2349892209 2573691467 7049676627 7721074401 18015840269 23163223203 54047520807 162142562421