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11661010641 = 337210980863
BaseRepresentation
bin10101101110000110…
…01110011011010001
31010002200020201101000
422313003032123101
5142340204320031
65205035532213
7561653645400
oct126703163321
933080221330
1011661010641
114a44377985
1223152ba069
13113ab651c7
147c89b9637
15483b0e3e6
hex2b70ce6d1

11661010641 has 48 divisors (see below), whose sum is σ = 20280691200. Its totient is φ = 6602220576.

The previous prime is 11661010639. The next prime is 11661010643. The reversal of 11661010641 is 14601016611.

It is a happy number.

11661010641 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 0 + 10 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (11661010639) and next prime (11661010643).

It is not a de Polignac number, because 11661010641 - 21 = 11661010639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11661010643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103776 + ... + 184638.

It is an arithmetic number, because the mean of its divisors is an integer number (422514400).

Almost surely, 211661010641 is an apocalyptic number.

It is an amenable number.

11661010641 is a deficient number, since it is larger than the sum of its proper divisors (8619680559).

11661010641 is a wasteful number, since it uses less digits than its factorization.

11661010641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80995 (or 80982 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11661010641 in words is "eleven billion, six hundred sixty-one million, ten thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 109 147 189 327 441 763 981 1323 2289 2943 5341 6867 16023 20601 48069 80863 144207 242589 566041 727767 1698123 2183301 3962287 5094369 8814067 11886861 15283107 26442201 35660583 61698469 79326603 106981749 185095407 237979809 431889283 555286221 1295667849 1665858663 3887003547 11661010641