Search a number
-
+
4893120198 = 233198535591
BaseRepresentation
bin1001000111010011…
…10001011011000110
3110122000021021001000
410203221301123012
540010114321243
62125312314130
7232153556361
oct44351613306
913560237030
104893120198
11209104769a
12b46842946
135cc9797c5
14345bdd0d8
151d98935d3
hex123a716c6

4893120198 has 64 divisors (see below), whose sum is σ = 11461363200. Its totient is φ = 1543108320.

The previous prime is 4893120191. The next prime is 4893120203. The reversal of 4893120198 is 8910213984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4893120191) 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, 872383 + ... + 877973.

It is an arithmetic number, because the mean of its divisors is an integer number (179083800).

Almost surely, 24893120198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4893120198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730681600).

4893120198 is an abundant number, since it is smaller than the sum of its proper divisors (6568243002).

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

4893120198 is a wasteful number, since it uses less digits than its factorization.

4893120198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 4893120198 is about 69950.8412958701. The cubic root of 4893120198 is about 1697.7039589274.

The spelling of 4893120198 in words is "four billion, eight hundred ninety-three million, one hundred twenty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 853 1026 1706 2559 5118 5591 7677 11182 15354 16207 16773 23031 32414 33546 46062 48621 50319 97242 100638 106229 145863 150957 212458 291726 301914 318687 437589 637374 875178 956061 1912122 2868183 4769123 5736366 9538246 14307369 28614738 42922107 85844214 90613337 128766321 181226674 257532642 271840011 543680022 815520033 1631040066 2446560099 4893120198