Search a number
-
+
6516664920 = 2333512834703
BaseRepresentation
bin1100001000110110…
…00110101001011000
3121211011020212201000
412010123012221120
5101321231234140
62554350425000
7320326511043
oct60433065130
917734225630
106516664920
11284453a897
12131a502160
137cb13725c
1445b6a1c5a
15282193a30
hex1846c6a58

6516664920 has 128 divisors (see below), whose sum is σ = 21743769600. Its totient is φ = 1736053632.

The previous prime is 6516664919. The next prime is 6516664933. The reversal of 6516664920 is 294666156.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383289 + ... + 1387991.

It is an arithmetic number, because the mean of its divisors is an integer number (169873200).

Almost surely, 26516664920 is an apocalyptic number.

6516664920 is a gapful number since it is divisible by the number (60) 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 6516664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10871884800).

6516664920 is an abundant number, since it is smaller than the sum of its proper divisors (15227104680).

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

6516664920 is a wasteful number, since it uses less digits than its factorization.

6516664920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6516664920 is about 80725.8627702424. The cubic root of 6516664920 is about 1867.8491403800.

The spelling of 6516664920 in words is "six billion, five hundred sixteen million, six hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1283 2566 3849 4703 5132 6415 7698 9406 10264 11547 12830 14109 15396 18812 19245 23094 23515 25660 28218 30792 34641 37624 38490 42327 46188 47030 51320 56436 57735 69282 70545 76980 84654 92376 94060 112872 115470 126981 138564 141090 153960 169308 173205 188120 211635 230940 253962 277128 282180 338616 346410 423270 461880 507924 564360 634905 692820 846540 1015848 1269810 1385640 1693080 2539620 5079240 6033949 12067898 18101847 24135796 30169745 36203694 48271592 54305541 60339490 72407388 90509235 108611082 120678980 144814776 162916623 181018470 217222164 241357960 271527705 325833246 362036940 434444328 543055410 651666492 724073880 814583115 1086110820 1303332984 1629166230 2172221640 3258332460 6516664920