Search a number
-
+
162163928232 = 23332570329209
BaseRepresentation
bin1001011100000110111…
…0010010110010101000
3120111120111001002111000
42113001232102302220
510124102431200412
6202255211435000
714500400434605
oct2270156226250
9514514032430
10162163928232
11628563454a9
1227518455a60
13123a467b727
147bc50816ac
1543419314dc
hex25c1b92ca8

162163928232 has 64 divisors (see below), whose sum is σ = 450488304000. Its totient is φ = 54050689152.

The previous prime is 162163928159. The next prime is 162163928237. The reversal of 162163928232 is 232829361261.

162163928232 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 639 + 2 + 8 + 2 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (162163928237) 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 15 ways as a sum of consecutive naturals, for example, 5537244 + ... + 5566452.

It is an arithmetic number, because the mean of its divisors is an integer number (7038879750).

Almost surely, 2162163928232 is an apocalyptic number.

162163928232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

162163928232 is an abundant number, since it is smaller than the sum of its proper divisors (288324375768).

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

162163928232 is a wasteful number, since it uses less digits than its factorization.

162163928232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54927 (or 54917 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 162163928232 in words is "one hundred sixty-two billion, one hundred sixty-three million, nine hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 25703 29209 51406 58418 77109 87627 102812 116836 154218 175254 205624 231327 233672 262881 308436 350508 462654 525762 616872 693981 701016 788643 925308 1051524 1387962 1577286 1850616 2103048 2775924 3154572 5551848 6309144 750758927 1501517854 2252276781 3003035708 4504553562 6006071416 6756830343 9009107124 13513660686 18018214248 20270491029 27027321372 40540982058 54054642744 81081964116 162163928232