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163488768 = 2103192801
BaseRepresentation
bin10011011111010…
…10010000000000
3102101122002102120
421233222100000
5313323120033
624120044240
74023426432
oct1157522000
9371562376
10163488768
1184315593
1246903680
1327b42721
14179da652
15e5461b3
hex9bea400

163488768 has 88 divisors (see below), whose sum is σ = 458855520. Its totient is φ = 51609600.

The previous prime is 163488737. The next prime is 163488769. The reversal of 163488768 is 867884361.

163488768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 163488768.

It is not an unprimeable number, because it can be changed into a prime (163488769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56968 + ... + 59768.

Almost surely, 2163488768 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 163488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229427760).

163488768 is an abundant number, since it is smaller than the sum of its proper divisors (295366752).

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

163488768 is a wasteful number, since it uses less digits than its factorization.

163488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2825 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 163488768 is about 12786.2726390454. The cubic root of 163488768 is about 546.8010086910.

The spelling of 163488768 in words is "one hundred sixty-three million, four hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 2801 3072 3648 4864 5602 7296 8403 9728 11204 14592 16806 19456 22408 29184 33612 44816 53219 58368 67224 89632 106438 134448 159657 179264 212876 268896 319314 358528 425752 537792 638628 717056 851504 1075584 1277256 1434112 1703008 2151168 2554512 2868224 3406016 4302336 5109024 6812032 8604672 10218048 13624064 20436096 27248128 40872192 54496256 81744384 163488768