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66105001676 = 22733116634289
BaseRepresentation
bin111101100100001010…
…100100011011001100
320022121222020000122102
4331210022210123030
52040340340023201
650211311334232
74530100146260
oct754412443314
9208558200572
1066105001676
112604260619a
121098a521378
1363064cb20c
1432b15d60a0
151abd6cc26b
hexf642a46cc

66105001676 has 48 divisors (see below), whose sum is σ = 132720107520. Its totient is φ = 28221557760.

The previous prime is 66105001673. The next prime is 66105001691. The reversal of 66105001676 is 67610050166.

It is not an unprimeable number, because it can be changed into a prime (66105001673) 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 15 ways as a sum of consecutive naturals, for example, 15410540 + ... + 15414828.

It is an arithmetic number, because the mean of its divisors is an integer number (2765002240).

Almost surely, 266105001676 is an apocalyptic number.

It is an amenable number.

66105001676 is an abundant number, since it is smaller than the sum of its proper divisors (66615105844).

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

66105001676 is a wasteful number, since it uses less digits than its factorization.

66105001676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 66105001676 in words is "sixty-six billion, one hundred five million, one thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 331 662 1324 1663 2317 3326 4289 4634 6652 8578 9268 11641 17156 23282 30023 46564 60046 120092 550453 1100906 1419659 2201812 2839318 3853171 5678636 7132607 7706342 9937613 14265214 15412684 19875226 28530428 39750452 49928249 99856498 199712996 2360892917 4721785834 9443571668 16526250419 33052500838 66105001676