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12081752834944 = 271317835145761
BaseRepresentation
bin1010111111010000000010…
…0101100000001110000000
31120210000010010110102022011
42233310000211200032000
53040421412211204234
641410140341022304
72354610045442042
oct257640045401600
946700103412264
1012081752834944
11393892a560801
1214316366b4994
136983c5a0c830
142daa8d473a92
1515e41a22cb64
hexafd00960380

12081752834944 has 128 divisors (see below), whose sum is σ = 27775999954080. Its totient is φ = 5184950108160.

The previous prime is 12081752834929. The next prime is 12081752835013. The reversal of 12081752834944 is 44943825718021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 224977 + ... + 4920784.

Almost surely, 212081752834944 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 12081752834944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887999977040).

12081752834944 is an abundant number, since it is smaller than the sum of its proper divisors (15694247119136).

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

12081752834944 is a wasteful number, since it uses less digits than its factorization.

12081752834944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145888 (or 5145876 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 12081752834944 in words is "twelve trillion, eighty-one billion, seven hundred fifty-two million, eight hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 83 104 128 136 166 208 221 272 332 416 442 544 664 832 884 1079 1088 1328 1411 1664 1768 2158 2176 2656 2822 3536 4316 5312 5644 7072 8632 10624 11288 14144 17264 18343 22576 28288 34528 36686 45152 69056 73372 90304 138112 146744 180608 293488 586976 1173952 2347904 5145761 10291522 20583044 41166088 66894893 82332176 87477937 133789786 164664352 174955874 267579572 329328704 349911748 427098163 535159144 658657408 699823496 854196326 1070318288 1137213181 1399646992 1708392652 2140636576 2274426362 2799293984 3416785304 4281273152 4548852724 5552276119 5598587968 6833570608 7260668771 8562546304 9097705448 11104552238 11197175936 13667141216 14521337542 18195410896 22209104476 27334282432 29042675084 36390821792 44418208952 54668564864 58085350168 72781643584 88836417904 94388694023 116170700336 145563287168 177672835808 188777388046 232341400672 355345671616 377554776092 464682801344 710691343232 755109552184 929365602688 1510219104368 3020438208736 6040876417472 12081752834944