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2641638740 = 2251350919961
BaseRepresentation
bin1001110101110100…
…0011010101010100
320211002201011002212
42131131003111110
520402224414430
61114043252552
7122314362446
oct23535032524
96732634085
102641638740
111136155314
1261881a158
13331391660
141b0ba0496
15106da7b95
hex9d743554

2641638740 has 48 divisors (see below), whose sum is σ = 5986204560. Its totient is φ = 973409280.

The previous prime is 2641638697. The next prime is 2641638749. The reversal of 2641638740 is 478361462.

2641638740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 67699984 + 2573938756 = 8228^2 + 50734^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2641638749) 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, 122360 + ... + 142320.

It is an arithmetic number, because the mean of its divisors is an integer number (124712595).

Almost surely, 22641638740 is an apocalyptic number.

2641638740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2641638740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993102280).

2641638740 is an abundant number, since it is smaller than the sum of its proper divisors (3344565820).

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

2641638740 is a wasteful number, since it uses less digits than its factorization.

2641638740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20492 (or 20490 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 2641638740 is about 51396.8748077157. The cubic root of 2641638740 is about 1382.3705562200.

It can be divided in two parts, 26416 and 38740, that added together give a palindrome (65156).

The spelling of 2641638740 in words is "two billion, six hundred forty-one million, six hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 509 1018 2036 2545 5090 6617 10180 13234 19961 26468 33085 39922 66170 79844 99805 132340 199610 259493 399220 518986 1037972 1297465 2594930 5189860 10160149 20320298 40640596 50800745 101601490 132081937 203202980 264163874 528327748 660409685 1320819370 2641638740