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164916468 = 223223319661
BaseRepresentation
bin10011101010001…
…10110011110100
3102111022121212100
421311012303310
5314204311333
624210422100
74041524013
oct1165066364
9374277770
10164916468
1185100202
1247291930
1328222512
1417c8ca7a
15e729213
hex9d46cf4

164916468 has 36 divisors (see below), whose sum is σ = 418682628. Its totient is φ = 54733440.

The previous prime is 164916449. The next prime is 164916487. The reversal of 164916468 is 864619461.

It is an interprime number because it is at equal distance from previous prime (164916449) and next prime (164916487).

It can be written as a sum of positive squares in 2 ways, for example, as 61121124 + 103795344 = 7818^2 + 10188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1443 + ... + 18218.

It is an arithmetic number, because the mean of its divisors is an integer number (11630073).

Almost surely, 2164916468 is an apocalyptic number.

164916468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164916468 is an abundant number, since it is smaller than the sum of its proper divisors (253766160).

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

164916468 is a wasteful number, since it uses less digits than its factorization.

164916468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19904 (or 19899 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 164916468 is about 12841.9806883518. The cubic root of 164916468 is about 548.3880826781.

The spelling of 164916468 in words is "one hundred sixty-four million, nine hundred sixteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 19661 39322 58983 78644 117966 176949 235932 353898 707796 4581013 9162026 13743039 18324052 27486078 41229117 54972156 82458234 164916468