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12424037347712 = 27172419801569
BaseRepresentation
bin1011010011001011001001…
…0101010011000110000000
31121222201121112011020220202
42310302302111103012000
53112023412030111322
642231305102024332
72421415141004324
oct264626225230600
947881545136822
1012424037347712
113a60006209321
121487a40b780a8
136c1773ca27a3
1430d48033d984
1516829ec36292
hexb4cb2553180

12424037347712 has 96 divisors (see below), whose sum is σ = 26355381129000. Its totient is φ = 5832644820992.

The previous prime is 12424037347693. The next prime is 12424037347717. The reversal of 12424037347712 is 21774373042421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424037347717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15098864 + ... + 15900432.

Almost surely, 212424037347712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12424037347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177690564500).

12424037347712 is an abundant number, since it is smaller than the sum of its proper divisors (13931343781288).

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

12424037347712 is an equidigital number, since it uses as much as digits as its factorization.

12424037347712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802036 (or 802007 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 47.

The spelling of 12424037347712 in words is "twelve trillion, four hundred twenty-four billion, thirty-seven million, three hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 419 544 578 838 1088 1156 1676 2176 2312 3352 4624 6704 7123 9248 13408 14246 18496 26816 28492 36992 53632 56984 113968 121091 227936 242182 455872 484364 801569 911744 968728 1603138 1937456 3206276 3874912 6412552 7749824 12825104 13626673 15499648 25650208 27253346 51300416 54506692 102600832 109013384 218026768 231653441 335857411 436053536 463306882 671714822 872107072 926613764 1343429644 1744214144 1853227528 2686859288 3706455056 5373718576 5709575987 7412910112 10747437152 11419151974 14825820224 21494874304 22838303948 29651640448 42989748608 45676607896 91353215792 97062791779 182706431584 194125583558 365412863168 388251167116 730825726336 776502334232 1553004668464 3106009336928 6212018673856 12424037347712