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164544840312 = 23346332174603
BaseRepresentation
bin1001100100111110100…
…0110000001001111000
3120201201102010221211220
42121033220300021320
510143441434342222
6203331342552040
714613401031336
oct2311750601170
9521642127756
10164544840312
11638682aaa36
1227a81898620
1312693a13148
147d6d372b56
154430986b5c
hex264fa30278

164544840312 has 64 divisors (see below), whose sum is σ = 412468308480. Its totient is φ = 54700918272.

The previous prime is 164544840283. The next prime is 164544840323. The reversal of 164544840312 is 213048445461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35745003 + ... + 35749605.

It is an arithmetic number, because the mean of its divisors is an integer number (6444817320).

Almost surely, 2164544840312 is an apocalyptic number.

164544840312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164544840312 is an abundant number, since it is smaller than the sum of its proper divisors (247923468168).

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

164544840312 is a wasteful number, since it uses less digits than its factorization.

164544840312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 164544840312 in words is "one hundred sixty-four billion, five hundred forty-four million, eight hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 463 926 1389 1852 2778 3217 3704 4603 5556 6434 9206 9651 11112 12868 13809 18412 19302 25736 27618 36824 38604 55236 77208 110472 1489471 2131189 2978942 4262378 4468413 5957884 6393567 8524756 8936826 11915768 12787134 14807851 17049512 17873652 25574268 29615702 35747304 44423553 51148536 59231404 88847106 118462808 177694212 355388424 6856035013 13712070026 20568105039 27424140052 41136210078 54848280104 82272420156 164544840312