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2666930682 = 231331247757
BaseRepresentation
bin1001111011110110…
…0010000111111010
320212212022010010110
42132331202013322
520430213240212
61120345325150
7123042352053
oct23675420772
96785263113
102666930682
11114945a549
126251967b6
133366a86c0
141b42a572a
15109201a3c
hex9ef621fa

2666930682 has 96 divisors (see below), whose sum is σ = 6069724416. Its totient is φ = 776200320.

The previous prime is 2666930671. The next prime is 2666930711. The reversal of 2666930682 is 2860396662.

It is a super-2 number, since 2×26669306822 = 14225038525185970248, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3522648 + ... + 3523404.

It is an arithmetic number, because the mean of its divisors is an integer number (63226296).

Almost surely, 22666930682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666930682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034862208).

2666930682 is an abundant number, since it is smaller than the sum of its proper divisors (3402793734).

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

2666930682 is a wasteful number, since it uses less digits than its factorization.

2666930682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 2666930682 is about 51642.3342036357. The cubic root of 2666930682 is about 1386.7683116930.

The spelling of 2666930682 in words is "two billion, six hundred sixty-six million, nine hundred thirty thousand, six hundred eighty-two".

Divisors: 1 2 3 6 13 26 31 39 47 62 78 93 94 141 186 282 403 611 757 806 961 1209 1222 1457 1514 1833 1922 2271 2418 2883 2914 3666 4371 4542 5766 8742 9841 12493 18941 19682 23467 24986 29523 35579 37479 37882 45167 46934 56823 59046 70401 71158 74958 90334 106737 113646 135501 140802 213474 271002 305071 462527 587171 610142 727477 915213 925054 1102949 1174342 1387581 1454954 1761513 1830426 2182431 2205898 2775162 3308847 3523026 4364862 6617694 9457201 14338337 18914402 28371603 28676674 34191419 43015011 56743206 68382838 86030022 102574257 205148514 444488447 888976894 1333465341 2666930682