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21706128641 = 532621156257
BaseRepresentation
bin10100001101110010…
…010011110100000001
32002000201220120202102
4110031302103310001
5323423232104031
613545513400145
71365620022611
oct241562236401
962021816672
1021706128641
1192295a879a
124259409055
13207bcbb902
14109cb24a41
158709307cb
hex50dc93d01

21706128641 has 8 divisors (see below), whose sum is σ = 22124257704. Its totient is φ = 21288317440.

The previous prime is 21706128593. The next prime is 21706128659. The reversal of 21706128641 is 14682160712.

It can be written as a sum of positive squares in 4 ways, for example, as 3459792400 + 18246336241 = 58820^2 + 135079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21706128641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21706128595 and 21706128604.

It is not an unprimeable number, because it can be changed into a prime (21706124641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60785 + ... + 217041.

It is an arithmetic number, because the mean of its divisors is an integer number (2765532213).

Almost surely, 221706128641 is an apocalyptic number.

It is an amenable number.

21706128641 is a deficient number, since it is larger than the sum of its proper divisors (418129063).

21706128641 is a wasteful number, since it uses less digits than its factorization.

21706128641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158931.

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 21706128641 in words is "twenty-one billion, seven hundred six million, one hundred twenty-eight thousand, six hundred forty-one".

Divisors: 1 53 2621 138913 156257 8281621 409549597 21706128641