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2668916418 = 237231292837
BaseRepresentation
bin1001111100010100…
…0110111011000010
320220000001000001020
42133011012323002
520431220311133
61120500050310
7123065262300
oct23705067302
96800030036
102668916418
11114a596453
12625993996
13336c224ac
141b4661270
151094950b3
hex9f146ec2

2668916418 has 48 divisors (see below), whose sum is σ = 6409638144. Its totient is φ = 737946720.

The previous prime is 2668916417. The next prime is 2668916431. The reversal of 2668916418 is 8146198662.

2668916418 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26689164182 = 14246229692539901448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2668916417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137305 + ... + 155532.

It is an arithmetic number, because the mean of its divisors is an integer number (133534128).

Almost surely, 22668916418 is an apocalyptic number.

2668916418 is an abundant number, since it is smaller than the sum of its proper divisors (3740721726).

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

2668916418 is a wasteful number, since it uses less digits than its factorization.

2668916418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292887 (or 292880 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 2668916418 is about 51661.5564806172. The cubic root of 2668916418 is about 1387.1124116978.

The spelling of 2668916418 in words is "two billion, six hundred sixty-eight million, nine hundred sixteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 292837 585674 878511 1757022 2049859 4099718 6149577 9077947 12299154 14349013 18155894 27233841 28698026 43047039 54467682 63545629 86094078 127091258 190636887 381273774 444819403 889638806 1334458209 2668916418