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5328219312 = 243313979781
BaseRepresentation
bin1001111011001011…
…00010110010110000
3111202022222120211000
410331211202302300
541403011004222
62240414122000
7246016055043
oct47545426260
914668876730
105328219312
112294706039
1210484b0300
1366bb59cc0
143878dcc5a
15212b8b9ac
hex13d962cb0

5328219312 has 160 divisors (see below), whose sum is σ = 16641920960. Its totient is φ = 1622384640.

The previous prime is 5328219301. The next prime is 5328219319. The reversal of 5328219312 is 2139128235.

5328219312 is a `hidden beast` number, since 5 + 328 + 2 + 19 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5328219319) 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, 539862 + ... + 549642.

It is an arithmetic number, because the mean of its divisors is an integer number (104012006).

Almost surely, 25328219312 is an apocalyptic number.

5328219312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5328219312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320960480).

5328219312 is an abundant number, since it is smaller than the sum of its proper divisors (11313701648).

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

5328219312 is a wasteful number, since it uses less digits than its factorization.

5328219312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9896 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5328219312 is about 72994.6526260657. The cubic root of 5328219312 is about 1746.6023122441.

The spelling of 5328219312 in words is "five billion, three hundred twenty-eight million, two hundred nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 97 104 108 117 144 156 194 208 216 234 291 312 351 388 432 468 582 624 702 776 873 936 1164 1261 1404 1552 1746 1872 2328 2522 2619 2808 3492 3783 4656 5044 5238 5616 6984 7566 9781 10088 10476 11349 13968 15132 19562 20176 20952 22698 29343 30264 34047 39124 41904 45396 58686 60528 68094 78248 88029 90792 117372 127153 136188 156496 176058 181584 234744 254306 264087 272376 352116 381459 469488 508612 528174 544752 704232 762918 948757 1017224 1056348 1144377 1408464 1525836 1897514 2034448 2112696 2288754 2846271 3051672 3433131 3795028 4225392 4577508 5692542 6103344 6866262 7590056 8538813 9155016 11385084 12333841 13732524 15180112 17077626 18310032 22770168 24667682 25616439 27465048 34155252 37001523 45540336 49335364 51232878 54930096 68310504 74003046 98670728 102465756 111004569 136621008 148006092 197341456 204931512 222009138 296012184 333013707 409863024 444018276 592024368 666027414 888036552 1332054828 1776073104 2664109656 5328219312