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6066712345088 = 291712728119531
BaseRepresentation
bin101100001001000010000…
…1110111111101000000000
3210110222020121120211002002
41120102010032333220000
51243344111330020323
620523001552043132
71164206534043113
oct130220416775000
923428217524062
106066712345088
111a29972a6174a
1281b9298334a8
1335011c6281c5
1416d8b7d2057a
15a7c20b33828
hex584843bfa00

6066712345088 has 160 divisors (see below), whose sum is σ = 12982368503808. Its totient is φ = 2822219366400.

The previous prime is 6066712345081. The next prime is 6066712345123. The reversal of 6066712345088 is 8805432176606.

It is not an unprimeable number, because it can be changed into a prime (6066712345081) 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, 310609883 + ... + 310629413.

Almost surely, 26066712345088 is an apocalyptic number.

6066712345088 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066712345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491184251904).

6066712345088 is an abundant number, since it is smaller than the sum of its proper divisors (6915656158720).

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

6066712345088 is a wasteful number, since it uses less digits than its factorization.

6066712345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19974 (or 19958 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 6066712345088 in words is "six trillion, sixty-six billion, seven hundred twelve million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 256 272 281 508 512 544 562 1016 1088 1124 2032 2159 2176 2248 4064 4318 4352 4496 4777 8128 8636 8704 8992 9554 16256 17272 17984 19108 19531 32512 34544 35687 35968 38216 39062 65024 69088 71374 71936 76432 78124 138176 142748 143872 152864 156248 276352 285496 305728 312496 332027 552704 570992 606679 611456 624992 664054 1105408 1141984 1213358 1222912 1249984 1328108 2283968 2426716 2445824 2480437 2499968 2656216 4567936 4853432 4960874 4999936 5312432 5488211 9135872 9706864 9921748 9999872 10624864 10976422 18271744 19413728 19843496 21249728 21952844 38827456 39686992 42167429 42499456 43905688 77654912 79373984 84334858 84998912 87811376 93299587 155309824 158747968 168669716 169997824 175622752 186599174 310619648 317495936 337339432 351245504 373198348 634991872 674678864 697002797 702491008 746396696 1269983744 1349357728 1394005594 1404982016 1492793392 2698715456 2788011188 2809964032 2985586784 5397430912 5576022376 5971173568 10794861824 11152044752 11849047549 11942347136 21589723648 22304089504 23698095098 23884694272 44608179008 47396190196 47769388544 89216358016 94792380392 178432716032 189584760784 356865432064 379169521568 758339043136 1516678086272 3033356172544 6066712345088