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2663877664 = 257231313947
BaseRepresentation
bin1001111011000111…
…1000110000100000
320212122120000011201
42132301320300200
520423423041124
61120200050544
7123004405120
oct23661706040
96778500151
102663877664
111147764798
12624163a54
13335b79b96
141b3b0cc80
15108cec144
hex9ec78c20

2663877664 has 96 divisors (see below), whose sum is σ = 6303661056. Its totient is φ = 1083413760.

The previous prime is 2663877661. The next prime is 2663877719. The reversal of 2663877664 is 4667783662.

It is not an unprimeable number, because it can be changed into a prime (2663877661) 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, 672939 + ... + 676885.

It is an arithmetic number, because the mean of its divisors is an integer number (65663136).

Almost surely, 22663877664 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 2663877664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151830528).

2663877664 is an abundant number, since it is smaller than the sum of its proper divisors (3639783392).

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

2663877664 is a wasteful number, since it uses less digits than its factorization.

2663877664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4110 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 55.

The square root of 2663877664 is about 51612.7664827221. The cubic root of 2663877664 is about 1386.2389334508.

The spelling of 2663877664 in words is "two billion, six hundred sixty-three million, eight hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 131 161 184 224 262 322 368 524 644 736 917 1048 1288 1834 2096 2576 3013 3668 3947 4192 5152 6026 7336 7894 12052 14672 15788 21091 24104 27629 29344 31576 42182 48208 55258 63152 84364 90781 96416 110516 126304 168728 181562 221032 337456 363124 442064 517057 635467 674912 726248 884128 1034114 1270934 1452496 2068228 2541868 2904992 3619399 4136456 5083736 7238798 8272912 10167472 11892311 14477596 16545824 20334944 23784622 28955192 47569244 57910384 83246177 95138488 115820768 166492354 190276976 332984708 380553952 665969416 1331938832 2663877664