Search a number
-
+
162112460532 = 223114171421891
BaseRepresentation
bin1001011011111010100…
…1111101011011110100
3120111102220012021001220
42112332221331123310
510124001242214112
6202250132350340
714466204115161
oct2267651753364
9514386167056
10162112460532
116282a292010
12275031753b0
1312396acb279
147bbc2c5068
15433c16698c
hex25bea7d6f4

162112460532 has 96 divisors (see below), whose sum is σ = 428669273088. Its totient is φ = 47251680000.

The previous prime is 162112460507. The next prime is 162112460623. The reversal of 162112460532 is 235064211261.

162112460532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 162112460493 and 162112460502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173307 + ... + 595197.

It is an arithmetic number, because the mean of its divisors is an integer number (4465304928).

Almost surely, 2162112460532 is an apocalyptic number.

162112460532 is a gapful number since it is divisible by the number (12) 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 162112460532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214334636544).

162112460532 is an abundant number, since it is smaller than the sum of its proper divisors (266556812556).

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

162112460532 is a wasteful number, since it uses less digits than its factorization.

162112460532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422021 (or 422019 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 162112460532 its reverse (235064211261), we get a palindrome (397176671793).

The spelling of 162112460532 in words is "one hundred sixty-two billion, one hundred twelve million, four hundred sixty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 71 82 123 132 142 164 213 246 284 426 451 492 781 852 902 1353 1562 1804 2343 2706 2911 3124 4686 5412 5822 8733 9372 11644 17466 32021 34932 64042 96063 128084 192126 384252 421891 843782 1265673 1687564 2531346 4640801 5062692 9281602 13922403 17297531 18563204 27844806 29954261 34595062 51892593 55689612 59908522 69190124 89862783 103785186 119817044 179725566 190272841 207570372 329496871 359451132 380545682 570818523 658993742 761091364 988490613 1141637046 1228124701 1317987484 1976981226 2283274092 2456249402 3684374103 3953962452 4912498804 7368748206 13509371711 14737496412 27018743422 40528115133 54037486844 81056230266 162112460532