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12071191872 = 263193308989
BaseRepresentation
bin10110011110111111…
…11100010101000000
31011011021002002020110
423033133330111000
5144210211114442
65313451311320
7605064303135
oct131737742500
934137062213
1012071191872
115134967133
12240a74b540
1311a4b2c9ac
1482727058c
154a9b3469c
hex2cf7fc540

12071191872 has 56 divisors (see below), whose sum is σ = 33619338400. Its totient is φ = 3811954176.

The previous prime is 12071191871. The next prime is 12071191927. The reversal of 12071191872 is 27819117021.

It is a self number, because there is not a number n which added to its sum of digits gives 12071191872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071191871) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1650847 + ... + 1658142.

Almost surely, 212071191872 is an apocalyptic number.

12071191872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12071191872 is an abundant number, since it is smaller than the sum of its proper divisors (21548146528).

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

12071191872 is a wasteful number, since it uses less digits than its factorization.

12071191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309023 (or 3309013 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 39.

The spelling of 12071191872 in words is "twelve billion, seventy-one million, one hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 3308989 6617978 9926967 13235956 19853934 26471912 39707868 52943824 62870791 79415736 105887648 125741582 158831472 188612373 211775296 251483164 317662944 377224746 502966328 635325888 754449492 1005932656 1508898984 2011865312 3017797968 4023730624 6035595936 12071191872