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10066443461 = 173531677461
BaseRepresentation
bin10010110000000000…
…11011110011000101
3221222112210022102022
421120000123303011
5131104002142321
64342514452525
7504312233444
oct113000336305
927875708368
1010066443461
1142a6276a68
121b4b294145
13c456b2229
146b6cdad5b
153ddb34dab
hex25801bcc5

10066443461 has 8 divisors (see below), whose sum is σ = 10688787864. Its totient is φ = 9447454720.

The previous prime is 10066443407. The next prime is 10066443463. The reversal of 10066443461 is 16434466001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5616753025 + 4449690436 = 74945^2 + 66706^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10066443461 - 26 = 10066443397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066443463) 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, 832730 + ... + 844731.

It is an arithmetic number, because the mean of its divisors is an integer number (1336098483).

Almost surely, 210066443461 is an apocalyptic number.

It is an amenable number.

10066443461 is a deficient number, since it is larger than the sum of its proper divisors (622344403).

10066443461 is a wasteful number, since it uses less digits than its factorization.

10066443461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677831.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 10066443461 in words is "ten billion, sixty-six million, four hundred forty-three thousand, four hundred sixty-one".

Divisors: 1 17 353 6001 1677461 28516837 592143733 10066443461