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2081166696 = 2337716993
BaseRepresentation
bin111110000001100…
…0001010101101000
312101001002020000000
41330003001111220
513230234313241
6542302343000
7102400424250
oct17403012550
95331066000
102081166696
11978845384
124a0b8aa60
132722257ab
1415a586960
15c2a96eb6
hex7c0c1568

2081166696 has 128 divisors (see below), whose sum is σ = 6688838400. Its totient is φ = 594584064.

The previous prime is 2081166677. The next prime is 2081166733. The reversal of 2081166696 is 6966611802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113976 + ... + 130968.

It is an arithmetic number, because the mean of its divisors is an integer number (52256550).

Almost surely, 22081166696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081166696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344419200).

2081166696 is an abundant number, since it is smaller than the sum of its proper divisors (4607671704).

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

2081166696 is an equidigital number, since it uses as much as digits as its factorization.

2081166696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17027 (or 17005 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2081166696 is about 45619.8059618846. The cubic root of 2081166696 is about 1276.7394831824.

The spelling of 2081166696 in words is "two billion, eighty-one million, one hundred sixty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 4374 4536 5103 5832 6804 8748 10206 13608 15309 16993 17496 20412 30618 33986 40824 50979 61236 67972 101958 118951 122472 135944 152937 203916 237902 305874 356853 407832 458811 475804 611748 713706 917622 951608 1070559 1223496 1376433 1427412 1835244 2141118 2752866 2854824 3211677 3670488 4129299 4282236 5505732 6423354 8258598 8564472 9635031 11011464 12387897 12846708 16517196 19270062 24775794 25693416 28905093 33034392 37163691 38540124 49551588 57810186 74327382 77080248 86715279 99103176 115620372 148654764 173430558 231240744 260145837 297309528 346861116 520291674 693722232 1040583348 2081166696