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12403502124432 = 2432920231440441
BaseRepresentation
bin1011010001111110101001…
…0101101000110110010000
31121220202121101111211100120
42310133222111220312100
53111204333020440212
642214031252550240
72420060226331566
oct264375225506620
947822541454316
1012403502124432
113a52328655111
121483a6b922380
136bc85075c4b3
1430c492d33a36
1516799bee588c
hexb47ea568d90

12403502124432 has 80 divisors (see below), whose sum is σ = 33149003863680. Its totient is φ = 3991725337600.

The previous prime is 12403502124413. The next prime is 12403502124451. The reversal of 12403502124432 is 23442120530421.

It is a happy number.

12403502124432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12403502124413) and next prime (12403502124451).

It is a super-2 number, since 2×124035021244322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12403502124393 and 12403502124402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27941332 + ... + 28381772.

It is an arithmetic number, because the mean of its divisors is an integer number (414362548296).

Almost surely, 212403502124432 is an apocalyptic number.

12403502124432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12403502124432 is an abundant number, since it is smaller than the sum of its proper divisors (20745501739248).

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

12403502124432 is a wasteful number, since it uses less digits than its factorization.

12403502124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460712 (or 460706 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 12403502124432 its reverse (23442120530421), we get a palindrome (35845622654853).

The spelling of 12403502124432 in words is "twelve trillion, four hundred three billion, five hundred two million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 20231 40462 60693 80924 121386 161848 242772 323696 440441 485544 586699 880882 971088 1173398 1321323 1760097 1761764 2346796 2642646 3520194 3523528 4693592 5285292 7040388 7047056 9387184 10570584 12772789 14080776 21141168 25545578 28161552 38318367 51091156 76636734 102182312 153273468 204364624 306546936 613093872 8910561871 17821123742 26731685613 35642247484 53463371226 71284494968 106926742452 142568989936 213853484904 258406294259 427706969808 516812588518 775218882777 1033625177036 1550437765554 2067250354072 3100875531108 4134500708144 6201751062216 12403502124432