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6006652612064 = 2513172573304891
BaseRepresentation
bin101011101101000100001…
…1001010010110111100000
3210021020012221121021000122
41113122020121102313200
51241403111032041224
620435230151335412
71156652310532466
oct127321031226740
923236187537018
106006652612064
111a06452896355
12810167981568
1334756a6b5740
1416aa1b55c836
15a63a803215e
hex57688652de0

6006652612064 has 96 divisors (see below), whose sum is σ = 13536864071136. Its totient is φ = 2599071252480.

The previous prime is 6006652612049. The next prime is 6006652612067. The reversal of 6006652612064 is 4602162566006.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006652612067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165059 + ... + 3469949.

It is an arithmetic number, because the mean of its divisors is an integer number (141009000741).

Almost surely, 26006652612064 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 6006652612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768432035568).

6006652612064 is an abundant number, since it is smaller than the sum of its proper divisors (7530211459072).

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

6006652612064 is a wasteful number, since it uses less digits than its factorization.

6006652612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305188 (or 3305180 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 6006652612064 in words is "six trillion, six billion, six hundred fifty-two million, six hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 257 272 416 442 514 544 884 1028 1768 2056 3341 3536 4112 4369 6682 7072 8224 8738 13364 17476 26728 34952 53456 56797 69904 106912 113594 139808 227188 454376 908752 1817504 3304891 6609782 13219564 26439128 42963583 52878256 56183147 85927166 105756512 112366294 171854332 224732588 343708664 449465176 687417328 730380911 849356987 898930352 1374834656 1460761822 1698713974 1797860704 2921523644 3397427948 5843047288 6794855896 11041640831 11686094576 13589711792 14439068779 22083281662 23372189152 27179423584 28878137558 44166563324 57756275116 88333126648 115512550232 176666253296 187707894127 231025100464 353332506592 375415788254 462050200928 750831576508 1501663153016 3003326306032 6006652612064