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12045622339584 = 211321934395623
BaseRepresentation
bin1010111101001001011100…
…0010100110100000000000
31120122112212010120002021100
42233102113002212200000
53034323413304331314
641341403231054400
72352160515341631
oct257222702464000
946575763502240
1012045622339584
113924579866889
121426632671400
13694b8851b8b2
142d9022b6b888
1515d5032e0c09
hexaf4970a6800

12045622339584 has 144 divisors (see below), whose sum is σ = 36621020872800. Its totient is φ = 3803880628224.

The previous prime is 12045622339567. The next prime is 12045622339631. The reversal of 12045622339584 is 48593322654021.

12045622339584 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 5 + 6 + 2 + 23 + 39 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 12045622339584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16847604 + ... + 17548019.

It is an arithmetic number, because the mean of its divisors is an integer number (254312644950).

Almost surely, 212045622339584 is an apocalyptic number.

It is an amenable number.

12045622339584 is an abundant number, since it is smaller than the sum of its proper divisors (24575398533216).

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

12045622339584 is a wasteful number, since it uses less digits than its factorization.

12045622339584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34395670 (or 34395647 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 12045622339584 in words is "twelve trillion, forty-five billion, six hundred twenty-two million, three hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4608 4864 5472 6144 7296 9216 9728 10944 14592 18432 19456 21888 29184 38912 43776 58368 87552 116736 175104 350208 34395623 68791246 103186869 137582492 206373738 275164984 309560607 412747476 550329968 619121214 653516837 825494952 1100659936 1238242428 1307033674 1650989904 1960550511 2201319872 2476484856 2614067348 3301979808 3921101022 4402639744 4952969712 5228134696 5881651533 6603959616 7842202044 8805279488 9905939424 10456269392 11763303066 13207919232 15684404088 17610558976 19811878848 20912538784 23526606132 26415838464 31368808176 35221117952 39623757696 41825077568 47053212264 52831676928 62737616352 70442235904 79247515392 83650155136 94106424528 105663353856 125475232704 158495030784 167300310272 188212849056 211326707712 250950465408 316990061568 334600620544 376425698112 501900930816 633980123136 669201241088 752851396224 1003801861632 1338402482176 1505702792448 2007603723264 3011405584896 4015207446528 6022811169792 12045622339584