Search a number
-
+
5028405835428 = 2234611303195259
BaseRepresentation
bin100100100101100010001…
…0101111111011010100100
3122210201012020201002010000
41021023010111333122210
51124341133343213203
614410003500101300
71026201404243643
oct111130425773244
918721166632100
105028405835428
111669598005108
12692656b34830
132a623b0b7701
1413553a1b935a
158ac014004a3
hex492c457f6a4

5028405835428 has 120 divisors (see below), whose sum is σ = 13371064266560. Its totient is φ = 1647383935680.

The previous prime is 5028405835421. The next prime is 5028405835441. The reversal of 5028405835428 is 8245385048205.

5028405835428 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 4 + 0 + 583 + 54 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5028405835421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25654863 + ... + 25850121.

Almost surely, 25028405835428 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 5028405835428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685532133280).

5028405835428 is an abundant number, since it is smaller than the sum of its proper divisors (8342658431132).

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

5028405835428 is a wasteful number, since it uses less digits than its factorization.

5028405835428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196639 (or 196628 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 5028405835428 in words is "five trillion, twenty-eight billion, four hundred five million, eight hundred thirty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1303 1647 2196 2606 3294 3909 4941 5212 6588 7818 9882 11727 15636 19764 23454 35181 46908 70362 79483 105543 140724 158966 195259 211086 238449 317932 390518 422172 476898 585777 715347 781036 953796 1171554 1430694 1757331 2146041 2343108 2861388 3514662 4292082 5271993 6438123 7029324 8584164 10543986 11910799 12876246 15815979 21087972 23821598 25752492 31631958 35732397 47643196 63263916 71464794 107197191 142929588 214394382 254422477 321591573 428788764 508844954 643183146 763267431 964774719 1017689908 1286366292 1526534862 1929549438 2289802293 3053069724 3859098876 4579604586 6869406879 9159209172 13738813758 15519771097 20608220637 27477627516 31039542194 41216441274 46559313291 62079084388 82432882548 93118626582 139677939873 186237253164 279355879746 419033819619 558711759492 838067639238 1257101458857 1676135278476 2514202917714 5028405835428