Search a number
-
+
163234713168 = 24327938936887
BaseRepresentation
bin1001100000000110001…
…1000000111001010000
3120121100002220121021100
42120001203000321100
510133301041310133
6202553342224400
714536052111562
oct2300143007120
9517302817240
10163234713168
116325581602a
1227776b85100
1312515470797
147c87377332
1543a5945e13
hex26018c0e50

163234713168 has 120 divisors (see below), whose sum is σ = 463814956800. Its totient is φ = 53583259392.

The previous prime is 163234713151. The next prime is 163234713199. The reversal of 163234713168 is 861317432361.

163234713168 is a `hidden beast` number, since 1 + 6 + 323 + 4 + 7 + 1 + 316 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4406821 + ... + 4443707.

It is an arithmetic number, because the mean of its divisors is an integer number (3865124640).

Almost surely, 2163234713168 is an apocalyptic number.

163234713168 is a gapful number since it is divisible by the number (18) 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 163234713168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231907478400).

163234713168 is an abundant number, since it is smaller than the sum of its proper divisors (300580243632).

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

163234713168 is a wasteful number, since it uses less digits than its factorization.

163234713168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37369 (or 37360 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 163234713168 in words is "one hundred sixty-three billion, two hundred thirty-four million, seven hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 389 474 632 711 778 948 1167 1264 1422 1556 1896 2334 2844 3112 3501 3792 4668 5688 6224 7002 9336 11376 14004 18672 28008 30731 36887 56016 61462 73774 92193 110661 122924 147548 184386 221322 245848 276579 295096 331983 368772 442644 491696 553158 590192 663966 737544 885288 1106316 1327932 1475088 1770576 2212632 2655864 2914073 4425264 5311728 5828146 8742219 11656292 14349043 17484438 23312584 26226657 28698086 34968876 43047129 46625168 52453314 57396172 69937752 86094258 104906628 114792344 129141387 139875504 172188516 209813256 229584688 258282774 344377032 419626512 516565548 688754064 1033131096 1133574397 2066262192 2267148794 3400723191 4534297588 6801446382 9068595176 10202169573 13602892764 18137190352 20404339146 27205785528 40808678292 54411571056 81617356584 163234713168