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164407816 = 23176718043
BaseRepresentation
bin10011100110010…
…10101000001000
3102110100210010101
421303022220020
5314042022231
624151455144
74034305036
oct1163125010
9373323111
10164407816
1184893031
12470874b4
13280a4b41
1417b99556
15e678661
hex9ccaa08

164407816 has 32 divisors (see below), whose sum is σ = 331287840. Its totient is φ = 76209408.

The previous prime is 164407801. The next prime is 164407889. The reversal of 164407816 is 618704461.

It is a happy number.

It is a super-3 number, since 3×1644078163 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 18133.

It is an arithmetic number, because the mean of its divisors is an integer number (10352745).

Almost surely, 2164407816 is an apocalyptic number.

It is an amenable number.

164407816 is an abundant number, since it is smaller than the sum of its proper divisors (166880024).

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

164407816 is a wasteful number, since it uses less digits than its factorization.

164407816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18133 (or 18129 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 164407816 is about 12822.1611282966. The cubic root of 164407816 is about 547.8237041016.

The spelling of 164407816 in words is "one hundred sixty-four million, four hundred seven thousand, eight hundred sixteen".

Divisors: 1 2 4 8 17 34 67 68 134 136 268 536 1139 2278 4556 9112 18043 36086 72172 144344 306731 613462 1208881 1226924 2417762 2453848 4835524 9671048 20550977 41101954 82203908 164407816