Search a number
-
+
28946630178 = 23343107116507
BaseRepresentation
bin11010111101010110…
…101000011000100010
32202201100012011122000
4122331112220120202
5433240314131203
621144202424430
72043216203544
oct327526503042
982640164560
1028946630178
1111304688764
12573a202116
13296408ca4b
1415885a7694
15b464044a3
hex6bd5a8622

28946630178 has 64 divisors (see below), whose sum is σ = 66437521920. Its totient is φ = 9336324816.

The previous prime is 28946630143. The next prime is 28946630183. The reversal of 28946630178 is 87103664982.

28946630178 is a `hidden beast` number, since 2 + 8 + 9 + 466 + 3 + 0 + 178 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 190201 + ... + 306707.

It is an arithmetic number, because the mean of its divisors is an integer number (1038086280).

Almost surely, 228946630178 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28946630178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218760960).

28946630178 is an abundant number, since it is smaller than the sum of its proper divisors (37490891742).

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

28946630178 is a wasteful number, since it uses less digits than its factorization.

28946630178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116668 (or 116662 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 28946630178 in words is "twenty-eight billion, nine hundred forty-six million, six hundred thirty thousand, one hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 43 54 86 107 129 214 258 321 387 642 774 963 1161 1926 2322 2889 4601 5778 9202 13803 27606 41409 82818 116507 124227 233014 248454 349521 699042 1048563 2097126 3145689 5009801 6291378 10019602 12466249 15029403 24932498 30058806 37398747 45088209 74797494 90176418 112196241 135264627 224392482 270529254 336588723 536048707 673177446 1072097414 1608146121 3216292242 4824438363 9648876726 14473315089 28946630178