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11585768642 = 2728321312
BaseRepresentation
bin10101100101001000…
…01100110011000010
31002220102200000202022
422302210030303002
5142211424044032
65153351121442
7560051260100
oct126244146302
932812600668
1011585768642
114a05956508
1222b4073282
1311283ac706
147bc9d0c70
1547c1ea512
hex2b290ccc2

11585768642 has 54 divisors (see below), whose sum is σ = 20619879219. Its totient is φ = 4868059560.

The previous prime is 11585768641. The next prime is 11585768647. The reversal of 11585768642 is 24686758511.

It can be written as a sum of positive squares in only one way, i.e., 5792884321 + 5792884321 = 76111^2 + 76111^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=76111.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11585768641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88440917 + ... + 88441047.

Almost surely, 211585768642 is an apocalyptic number.

11585768642 is a deficient number, since it is larger than the sum of its proper divisors (9034110577).

11585768642 is an frugal number, since it uses more digits than its factorization.

11585768642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 223 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 53.

The spelling of 11585768642 in words is "eleven billion, five hundred eighty-five million, seven hundred sixty-eight thousand, six hundred forty-two".

Divisors: 1 2 7 14 49 83 98 131 166 262 581 917 1162 1834 4067 6419 6889 8134 10873 12838 13778 17161 21746 34322 48223 76111 96446 120127 152222 240254 337561 532777 675122 840889 902459 1065554 1424363 1681778 1804918 2848726 6317213 9970541 12634426 19941082 44220491 69793787 88440982 118222129 139587574 236444258 827554903 1655109806 5792884321 11585768642