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6059543081472 = 29333413128431
BaseRepresentation
bin101100000101101100011…
…1010011011001000000000
3210110021201222100111021000
41120023120322123020000
51243234421012101342
620515414325532000
71163534061232656
oct130133072331000
923407658314230
106059543081472
111a269241088a1
1281a468874000
1334c54923a19a
1416d3d7b02dd6
15a795153244c
hex582d8e9b200

6059543081472 has 160 divisors (see below), whose sum is σ = 17942063420160. Its totient is φ = 2019240161280.

The previous prime is 6059543081401. The next prime is 6059543081479. The reversal of 6059543081472 is 2741803459506.

It is a happy number.

6059543081472 is a `hidden beast` number, since 6 + 0 + 5 + 95 + 4 + 3 + 0 + 81 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6059543081479) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47117097 + ... + 47245527.

It is an arithmetic number, because the mean of its divisors is an integer number (112137896376).

It is a 1-persistent number, because it is pandigital, but 2⋅6059543081472 = 12119086162944 is not.

Almost surely, 26059543081472 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 6059543081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971031710080).

6059543081472 is an abundant number, since it is smaller than the sum of its proper divisors (11882520338688).

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

6059543081472 is a wasteful number, since it uses less digits than its factorization.

6059543081472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131871 (or 131849 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6059543081472 in words is "six trillion, fifty-nine billion, five hundred forty-three million, eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3413 3456 4608 6826 6912 10239 13652 13824 20478 27304 30717 40956 54608 61434 81912 92151 109216 122868 128431 163824 184302 218432 245736 256862 327648 368604 385293 436864 491472 513724 655296 737208 770586 873728 982944 1027448 1155879 1310592 1474416 1541172 1747456 1965888 2054896 2311758 2621184 2948832 3082344 3467637 3931776 4109792 4623516 5242368 5897664 6164688 6935274 7863552 8219584 9247032 11795328 12329376 13870548 15727104 16439168 18494064 23590656 24658752 27741096 32878336 36988128 47181312 49317504 55482192 65756672 73976256 98635008 110964384 147952512 197270016 221928768 295905024 438335003 443857536 591810048 876670006 887715072 1315005009 1753340012 1775430144 2630010018 3506680024 3945015027 5260020036 7013360048 7890030054 10520040072 11835045081 14026720096 15780060108 21040080144 23670090162 28053440192 31560120216 42080160288 47340180324 56106880384 63120240432 84160320576 94680360648 112213760768 126240480864 168320641152 189360721296 224427521536 252480961728 336641282304 378721442592 504961923456 673282564608 757442885184 1009923846912 1514885770368 2019847693824 3029771540736 6059543081472