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664164522 = 23472312699
BaseRepresentation
bin100111100101100…
…101100010101010
31201021202001110000
4213211211202222
52330011231042
6145523203430
722313206500
oct4745454252
91637661400
10664164522
113109a36aa
12166516576
13a77a3278
14642ca670
153d49474c
hex279658aa

664164522 has 120 divisors (see below), whose sum is σ = 1787702400. Its totient is φ = 183571920.

The previous prime is 664164503. The next prime is 664164539. The reversal of 664164522 is 225461466.

664164522 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 645 + 2 + 2 = 666.

664164522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6641645222 = 882229024566976968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 244729 + ... + 247427.

It is an arithmetic number, because the mean of its divisors is an integer number (14897520).

Almost surely, 2664164522 is an apocalyptic number.

664164522 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 664164522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893851200).

664164522 is an abundant number, since it is smaller than the sum of its proper divisors (1123537878).

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

664164522 is a wasteful number, since it uses less digits than its factorization.

664164522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2742 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 664164522 is about 25771.3896016493. The cubic root of 664164522 is about 872.4861822154.

The spelling of 664164522 in words is "six hundred sixty-four million, one hundred sixty-four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 81 93 98 126 147 162 186 189 217 279 294 378 434 441 558 567 651 837 882 1134 1302 1323 1519 1674 1953 2511 2646 2699 3038 3906 3969 4557 5022 5398 5859 7938 8097 9114 11718 13671 16194 17577 18893 24291 27342 35154 37786 41013 48582 56679 72873 82026 83669 113358 123039 132251 145746 167338 170037 218619 246078 251007 264502 340074 396753 437238 502014 510111 585683 753021 793506 1020222 1171366 1190259 1506042 1530333 1757049 2259063 2380518 3060666 3514098 3570777 4099781 4518126 5271147 6777189 7141554 8199562 10542294 10712331 12299343 13554378 15813441 21424662 24598686 31626882 36898029 47440323 73796058 94880646 110694087 221388174 332082261 664164522