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2664603284 = 227413476689
BaseRepresentation
bin1001111011010010…
…1001111010010100
320212200220212112112
42132310221322110
520424114301114
61120223410152
7123013516460
oct23664517224
96780825475
102664603284
11114810a982
12624453958
13336072245
141b3c5b4a0
15108de213e
hex9ed29e94

2664603284 has 48 divisors (see below), whose sum is σ = 5475738240. Its totient is φ = 1110743040.

The previous prime is 2664603269. The next prime is 2664603287. The reversal of 2664603284 is 4823064662.

It is a super-2 number, since 2×26646032842 = 14200221322207169312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664603287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395012 + ... + 401700.

It is an arithmetic number, because the mean of its divisors is an integer number (114077880).

Almost surely, 22664603284 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 2664603284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737869120).

2664603284 is an abundant number, since it is smaller than the sum of its proper divisors (2811134956).

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

2664603284 is a wasteful number, since it uses less digits than its factorization.

2664603284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The square root of 2664603284 is about 51619.7954664681. The cubic root of 2664603284 is about 1386.3647890022.

The spelling of 2664603284 in words is "two billion, six hundred sixty-four million, six hundred three thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 347 574 694 1148 1388 2429 4858 6689 9716 13378 14227 26756 28454 46823 56908 93646 99589 187292 199178 274249 398356 548498 1096996 1919743 2321083 3839486 4642166 7678972 9284332 16247581 32495162 64990324 95164403 190328806 380657612 666150821 1332301642 2664603284