Search a number
-
+
6660516016 = 2471112742569
BaseRepresentation
bin1100011001111111…
…10110100010110000
3122012011221021022101
412030333312202300
5102120043003031
63020525550144
7324024311020
oct61477664260
918164837271
106660516016
1129087622a0
12135a715354
13821b9244b
14472829a80
1528eb0b361
hex18cff68b0

6660516016 has 80 divisors (see below), whose sum is σ = 16216104960. Its totient is φ = 2574512640.

The previous prime is 6660516013. The next prime is 6660516017. The reversal of 6660516016 is 6106150666.

It is not an unprimeable number, because it can be changed into a prime (6660516013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135180 + ... + 177748.

It is an arithmetic number, because the mean of its divisors is an integer number (202701312).

Almost surely, 26660516016 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 6660516016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108052480).

6660516016 is an abundant number, since it is smaller than the sum of its proper divisors (9555588944).

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

6660516016 is a wasteful number, since it uses less digits than its factorization.

6660516016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42722 (or 42716 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 6660516016 is about 81611.9845120801. The cubic root of 6660516016 is about 1881.4930812836.

It can be divided in two parts, 66605 and 16016, that added together give a triangular number (82621 = T406).

The spelling of 6660516016 in words is "six billion, six hundred sixty million, five hundred sixteen thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 127 154 176 254 308 508 616 889 1016 1232 1397 1778 2032 2794 3556 5588 7112 9779 11176 14224 19558 22352 39116 42569 78232 85138 156464 170276 297983 340552 468259 595966 681104 936518 1191932 1873036 2383864 3277813 3746072 4767728 5406263 6555626 7492144 10812526 13111252 21625052 26222504 37843841 43250104 52445008 59468893 75687682 86500208 118937786 151375364 237875572 302750728 416282251 475751144 605501456 832564502 951502288 1665129004 3330258008 6660516016