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12049316748 = 223271391911801
BaseRepresentation
bin10110011100011000…
…11111101110001100
31011002201220201012200
423032030133232030
5144134111113443
65311350401500
7604410334230
oct131614375614
934081821180
1012049316748
115123586017
122403360290
1311a0440c31
148243b85c0
154a7c62dd3
hex2ce31fb8c

12049316748 has 144 divisors (see below), whose sum is σ = 35262689280. Its totient is φ = 3398112000.

The previous prime is 12049316737. The next prime is 12049316761. The reversal of 12049316748 is 84761394021.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6689448 + ... + 6691248.

Almost surely, 212049316748 is an apocalyptic number.

12049316748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12049316748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17631344640).

12049316748 is an abundant number, since it is smaller than the sum of its proper divisors (23213372532).

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

12049316748 is a wasteful number, since it uses less digits than its factorization.

12049316748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12049316748 in words is "twelve billion, forty-nine million, three hundred sixteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 139 191 252 278 382 417 556 573 764 834 973 1146 1251 1337 1668 1719 1801 1946 2292 2502 2674 2919 3438 3602 3892 4011 5004 5348 5403 5838 6876 7204 8022 8757 10806 11676 12033 12607 16044 16209 17514 21612 24066 25214 26549 32418 35028 37821 48132 50428 53098 64836 75642 79647 106196 113463 151284 159294 185843 226926 238941 250339 318588 343991 371686 453852 477882 500678 557529 687982 743372 751017 955764 1001356 1031973 1115058 1375964 1502034 1672587 1752373 2063946 2230116 2253051 2407937 3004068 3095919 3345174 3504746 4127892 4506102 4815874 5257119 6191838 6690348 7009492 7223811 9012204 9631748 10514238 12383676 14447622 15771357 21028476 21671433 28895244 31542714 43342866 47814749 63085428 86685732 95629498 143444247 191258996 286888494 334703243 430332741 573776988 669406486 860665482 1004109729 1338812972 1721330964 2008219458 3012329187 4016438916 6024658374 12049316748