Search a number
-
+
168343827504 = 24323716593259
BaseRepresentation
bin1001110011001000010…
…0101111010000110000
3121002112011121111120020
42130302010233100300
510224232004440004
6205200332243440
715106500631626
oct2346204572060
9532464544506
10168343827504
116543777a276
1228762010580
1312b4aab4568
14820db1d516
1545a42528d9
hex273212f430

168343827504 has 160 divisors (see below), whose sum is σ = 461027635200. Its totient is φ = 52822344960.

The previous prime is 168343827503. The next prime is 168343827511. The reversal of 168343827504 is 405728343861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (168343827503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51653427 + ... + 51656685.

It is an arithmetic number, because the mean of its divisors is an integer number (2881422720).

Almost surely, 2168343827504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168343827504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230513817600).

168343827504 is an abundant number, since it is smaller than the sum of its proper divisors (292683807696).

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

168343827504 is a wasteful number, since it uses less digits than its factorization.

168343827504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 168343827504 in words is "one hundred sixty-eight billion, three hundred forty-three million, eight hundred twenty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 71 92 138 142 184 213 276 284 368 426 552 568 659 852 1104 1136 1318 1633 1704 1977 2636 3259 3266 3408 3954 4899 5272 6518 6532 7908 9777 9798 10544 13036 13064 15157 15816 19554 19596 26072 26128 30314 31632 39108 39192 45471 46789 52144 60628 74957 78216 78384 90942 93578 121256 140367 149914 156432 181884 187156 224871 231389 242512 280734 299828 363768 374312 449742 462778 561468 599656 694167 727536 748624 899484 925556 1076147 1122936 1199312 1388334 1798968 1851112 2147681 2152294 2245872 2776668 3228441 3597936 3702224 4295362 4304588 5321947 5553336 6443043 6456882 8590724 8609176 10643894 11106672 12886086 12913764 15965841 17181448 17218352 21287788 25772172 25827528 31931682 34362896 42575576 49396663 51544344 51655056 63863364 85151152 98793326 103088688 127726728 148189989 152485351 197586652 255453456 296379978 304970702 395173304 457456053 592759956 609941404 790346608 914912106 1185519912 1219882808 1829824212 2371039824 2439765616 3507163073 3659648424 7014326146 7319296848 10521489219 14028652292 21042978438 28057304584 42085956876 56114609168 84171913752 168343827504