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11995515666 = 2381795107
BaseRepresentation
bin10110010101111110…
…10000101100010010
31010221222200100000000
423022333100230102
5144031323000131
65302145310430
7603155125611
oct131277205422
933858610000
1011995515666
1150a6179512
1223a9335416
131192254684
1481b1b1878
154a3186ce6
hex2cafd0b12

11995515666 has 72 divisors (see below), whose sum is σ = 27144627120. Its totient is φ = 3975388632.

The previous prime is 11995515629. The next prime is 11995515667. The reversal of 11995515666 is 66651559911.

11995515666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11995515667) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2346285 + ... + 2351391.

It is an arithmetic number, because the mean of its divisors is an integer number (377008710).

Almost surely, 211995515666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11995515666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572313560).

11995515666 is an abundant number, since it is smaller than the sum of its proper divisors (15149111454).

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

11995515666 is an frugal number, since it uses more digits than its factorization.

11995515666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5291 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 54.

The spelling of 11995515666 in words is "eleven billion, nine hundred ninety-five million, five hundred fifteen thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 486 537 729 1074 1458 1611 2187 3222 4374 4833 5107 6561 9666 10214 13122 14499 15321 28998 30642 43497 45963 86994 91926 130491 137889 260982 275778 391473 413667 782946 827334 914153 1174419 1241001 1828306 2348838 2482002 2742459 3723003 5484918 7446006 8227377 11169009 16454754 22338018 24682131 33507027 49364262 67014054 74046393 148092786 222139179 444278358 666417537 1332835074 1999252611 3998505222 5997757833 11995515666