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163132016 = 24891091051
BaseRepresentation
bin10011011100100…
…11001001110000
3102100221222001112
421232103021300
5313230211031
624104252452
74020412355
oct1156231160
9370858045
10163132016
11840a1553
1246771128
1327a49228
141794662c
15e4c562b
hex9b93270

163132016 has 40 divisors (see below), whose sum is σ = 322858800. Its totient is φ = 79833600.

The previous prime is 163132009. The next prime is 163132049. The reversal of 163132016 is 610231361.

It is a happy number.

It is a super-2 number, since 2×1631320162 = 53224109288448512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 163131982 and 163132000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154691 + ... + 155741.

It is an arithmetic number, because the mean of its divisors is an integer number (8071470).

Almost surely, 2163132016 is an apocalyptic number.

163132016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

163132016 is a deficient number, since it is larger than the sum of its proper divisors (159726784).

163132016 is a wasteful number, since it uses less digits than its factorization.

163132016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 163132016 is about 12772.3144339622. The cubic root of 163132016 is about 546.4029906937.

Adding to 163132016 its reverse (610231361), we get a palindrome (773363377).

The spelling of 163132016 in words is "one hundred sixty-three million, one hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 16 89 109 178 218 356 436 712 872 1051 1424 1744 2102 4204 8408 9701 16816 19402 38804 77608 93539 114559 155216 187078 229118 374156 458236 748312 916472 1496624 1832944 10195751 20391502 40783004 81566008 163132016