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2641306432 = 26199712237
BaseRepresentation
bin1001110101101111…
…0010001101000000
320211002002021021011
42131123302031000
520402133301212
61114032210304
7122311506562
oct23533621500
96732067234
102641306432
111135a48686
12618699994
133312a631b
141b0b15332
15106d3e4a7
hex9d6f2340

2641306432 has 56 divisors (see below), whose sum is σ = 5525353440. Its totient is φ = 1249297920.

The previous prime is 2641306379. The next prime is 2641306441. The reversal of 2641306432 is 2346031462.

It is a junction number, because it is equal to n+sod(n) for n = 2641306394 and 2641306403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179618 + ... + 1181854.

Almost surely, 22641306432 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 2641306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762676720).

2641306432 is an abundant number, since it is smaller than the sum of its proper divisors (2884047008).

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

2641306432 is a wasteful number, since it uses less digits than its factorization.

2641306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 2641306432 is about 51393.6419413919. The cubic root of 2641306432 is about 1382.3125881550.

Adding to 2641306432 its reverse (2346031462), we get a palindrome (4987337894).

The spelling of 2641306432 in words is "two billion, six hundred forty-one million, three hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 971 1216 1942 2237 3884 4474 7768 8948 15536 17896 18449 31072 35792 36898 42503 62144 71584 73796 85006 143168 147592 170012 295184 340024 590368 680048 1180736 1360096 2172127 2720192 4344254 8688508 17377016 34754032 41270413 69508064 82540826 139016128 165081652 330163304 660326608 1320653216 2641306432