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12084140544 = 29371123897
BaseRepresentation
bin10110100000100010…
…10101101000000000
31011012011102221110220
423100101111220000
5144222014444134
65315033023040
7605312333310
oct132021255000
934164387426
1012084140544
115141200713
122412b54a80
1311a7714728
14828c81440
154aad41149
hex2d0455a00

12084140544 has 80 divisors (see below), whose sum is σ = 36791924928. Its totient is φ = 3452608512.

The previous prime is 12084140539. The next prime is 12084140599. The reversal of 12084140544 is 44504148021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551197 + ... + 572700.

Almost surely, 212084140544 is an apocalyptic number.

12084140544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12084140544 is an abundant number, since it is smaller than the sum of its proper divisors (24707784384).

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

12084140544 is an equidigital number, since it uses as much as digits as its factorization.

12084140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123925 (or 1123909 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 12084140544 its reverse (44504148021), we get a palindrome (56588288565).

It can be divided in two parts, 12084 and 140544, that added together give a triangular number (152628 = T552).

The spelling of 12084140544 in words is "twelve billion, eighty-four million, one hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 1123897 2247794 3371691 4495588 6743382 7867279 8991176 13486764 15734558 17982352 23601837 26973528 31469116 35964704 47203674 53947056 62938232 71929408 94407348 107894112 125876464 143858816 188814696 215788224 251752928 287717632 377629392 431576448 503505856 575435264 755258784 863152896 1007011712 1510517568 1726305792 2014023424 3021035136 4028046848 6042070272 12084140544