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665679976566 = 2311371513674919
BaseRepresentation
bin10011010111111011001…
…11100101100001110110
32100122020101022120021220
421223331213211201312
541401303033222231
61225450440051210
766044112304113
oct11537547454166
92318211276256
10665679976566
11237349aa1070
12a901aa63b06
134aa09094677
142430d23d90a
15124b1091896
hex9afd9e5876

665679976566 has 128 divisors (see below), whose sum is σ = 1505922416640. Its totient is φ = 194398704000.

The previous prime is 665679976531. The next prime is 665679976573.

665679976566 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 665679976491 and 665679976500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135325855 + ... + 135330773.

It is an arithmetic number, because the mean of its divisors is an integer number (11765018880).

Almost surely, 2665679976566 is an apocalyptic number.

665679976566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 665679976566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752961208320).

665679976566 is an abundant number, since it is smaller than the sum of its proper divisors (840242440074).

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

665679976566 is a wasteful number, since it uses less digits than its factorization.

665679976566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490.

The product of its digits is 4629441600, while the sum is 78.

The spelling of 665679976566 in words is "six hundred sixty-five billion, six hundred seventy-nine million, nine hundred seventy-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 151 222 302 367 407 453 734 814 906 1101 1221 1661 2202 2442 3322 4037 4919 4983 5587 8074 9838 9966 11174 12111 13579 14757 16761 24222 27158 29514 33522 40737 54109 55417 61457 81474 108218 110834 122914 149369 162327 166251 182003 184371 298738 324654 332502 364006 368742 448107 546009 609587 742769 896214 1092018 1219174 1485538 1805273 1828761 2002033 2050429 2228307 3610546 3657522 4004066 4100858 4456614 5415819 6006099 6151287 8170459 10831638 12012198 12302574 16340918 19858003 22554719 24511377 27482453 39716006 45109438 49022754 54964906 59574009 66795101 67664157 82447359 119148018 133590202 135328314 164894718 200385303 272596223 302306983 400770606 545192446 604613966 734746111 817788669 906920949 1469492222 1635577338 1813841898 2204238333 2998558453 4408476666 5997116906 8995675359 10086060251 17991350718 20172120502 30258180753 60516361506 110946662761 221893325522 332839988283 665679976566