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1664370252 = 2232232637643
BaseRepresentation
bin110001100110100…
…0100011001001100
311021222210202202200
41203031010121030
511402034322002
6433053121500
756146625256
oct14315043114
94258722680
101664370252
11784548006
123a5489290
13206a82c8c
1411b08ccd6
159b1b6b1c
hex6334464c

1664370252 has 72 divisors (see below), whose sum is σ = 4407346944. Its totient is φ = 528581856.

The previous prime is 1664370247. The next prime is 1664370259. The reversal of 1664370252 is 2520734661.

1664370252 is a `hidden beast` number, since 1 + 6 + 643 + 7 + 0 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1664370259) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 213943 + ... + 221585.

It is an arithmetic number, because the mean of its divisors is an integer number (61213152).

Almost surely, 21664370252 is an apocalyptic number.

1664370252 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 1664370252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203673472).

1664370252 is an abundant number, since it is smaller than the sum of its proper divisors (2742976692).

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

1664370252 is a wasteful number, since it uses less digits than its factorization.

1664370252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1664370252 is about 40796.6941307749. The cubic root of 1664370252 is about 1185.0863110769.

The spelling of 1664370252 in words is "one billion, six hundred sixty-four million, three hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 263 276 414 526 789 828 1052 1578 2367 3156 4734 6049 7643 9468 12098 15286 18147 22929 24196 30572 36294 45858 54441 68787 72588 91716 108882 137574 175789 217764 275148 351578 527367 703156 1054734 1582101 2010109 2109468 3164202 4020218 6030327 6328404 8040436 12060654 18090981 24121308 36181962 46232507 72363924 92465014 138697521 184930028 277395042 416092563 554790084 832185126 1664370252