Search a number
-
+
28901255418 = 2327537275953
BaseRepresentation
bin11010111010101001…
…100010100011111010
32202121011210220011100
4122322221202203322
5433142210133133
621135502112230
72042125421610
oct327251424372
982534726140
1028901255418
1111291006a62
125726b7b676
132957863989
1415825556b0
15b4243ee13
hex6baa628fa

28901255418 has 96 divisors (see below), whose sum is σ = 73027858176. Its totient is φ = 8089196544.

The previous prime is 28901255413. The next prime is 28901255419. The reversal of 28901255418 is 81455210982.

28901255418 is a `hidden beast` number, since 2 + 8 + 90 + 1 + 2 + 554 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (28901255413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4851930 + ... + 4857882.

It is an arithmetic number, because the mean of its divisors is an integer number (760706856).

Almost surely, 228901255418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28901255418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36513929088).

28901255418 is an abundant number, since it is smaller than the sum of its proper divisors (44126602758).

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

28901255418 is a wasteful number, since it uses less digits than its factorization.

28901255418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 28901255418 in words is "twenty-eight billion, nine hundred one million, two hundred fifty-five thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 727 742 954 1113 1454 2181 2226 3339 4362 5089 5953 6543 6678 10178 11906 13086 15267 17859 30534 35718 38531 41671 45801 53577 77062 83342 91602 107154 115593 125013 231186 250026 269717 315509 346779 375039 539434 631018 693558 750078 809151 946527 1618302 1893054 2208563 2427453 2839581 4327831 4417126 4854906 5679162 6625689 8655662 12983493 13251378 19877067 25966986 30294817 38950479 39754134 60589634 77900958 90884451 181768902 229375043 272653353 458750086 545306706 688125129 1376250258 1605625301 2064375387 3211250602 4128750774 4816875903 9633751806 14450627709 28901255418