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51660105666 = 231329227100609
BaseRepresentation
bin110000000111001011…
…101010011111000010
311221100021121021110220
4300013023222133002
51321244441340131
635422103203510
73506120436651
oct600713523702
9157307537426
1051660105666
111a9aa868004
12a018a46596
134b4398b880
142700dcd198
1515254b7e96
hexc072ea7c2

51660105666 has 64 divisors (see below), whose sum is σ = 115612963200. Its totient is φ = 15279538176.

The previous prime is 51660105659. The next prime is 51660105677. The reversal of 51660105666 is 66650106615.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 463170 + ... + 563778.

It is an arithmetic number, because the mean of its divisors is an integer number (1806452550).

Almost surely, 251660105666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51660105666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57806481600).

51660105666 is an abundant number, since it is smaller than the sum of its proper divisors (63952857534).

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

51660105666 is a wasteful number, since it uses less digits than its factorization.

51660105666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100883.

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 51660105666 in words is "fifty-one billion, six hundred sixty million, one hundred five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 227 377 454 681 754 1131 1362 2262 2951 5902 6583 8853 13166 17706 19749 39498 85579 100609 171158 201218 256737 301827 513474 603654 1307917 2615834 2917661 3923751 5835322 7847502 8752983 17505966 22838243 37929593 45676486 68514729 75859186 113788779 137029458 227577558 296897159 593794318 662309047 890691477 1324618094 1781382954 1986927141 3973854282 8610017611 17220035222 25830052833 51660105666