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1641981620 = 225306126821
BaseRepresentation
bin110000111011110…
…1010011010110100
311020102200022100002
41201313222122310
511330321402440
6430533210432
755455420266
oct14167523264
94212608302
101641981620
11772946104
12399a90a18
13202244576
14118101b36
1599243115
hex61dea6b4

1641981620 has 24 divisors (see below), whose sum is σ = 3449416488. Its totient is φ = 656553600.

The previous prime is 1641981611. The next prime is 1641981629. The reversal of 1641981620 is 261891461.

It is an interprime number because it is at equal distance from previous prime (1641981611) and next prime (1641981629).

It can be written as a sum of positive squares in 4 ways, for example, as 868363024 + 773618596 = 29468^2 + 27814^2 .

It is a super-2 number, since 2×16419816202 = 5392207280835648800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641981629) 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 7 ways as a sum of consecutive naturals, for example, 47810 + ... + 74630.

It is an arithmetic number, because the mean of its divisors is an integer number (143725687).

Almost surely, 21641981620 is an apocalyptic number.

1641981620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1641981620 is an abundant number, since it is smaller than the sum of its proper divisors (1807434868).

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

1641981620 is a wasteful number, since it uses less digits than its factorization.

1641981620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29891 (or 29889 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1641981620 is about 40521.3723854462. The cubic root of 1641981620 is about 1179.7484908759.

The spelling of 1641981620 in words is "one billion, six hundred forty-one million, nine hundred eighty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 3061 6122 12244 15305 26821 30610 53642 61220 107284 134105 268210 536420 82099081 164198162 328396324 410495405 820990810 1641981620