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6001664790 = 2351131718263
BaseRepresentation
bin1011001011011101…
…00010001100010110
3120111021012011100010
411211232202030112
544242411233130
62431312301050
7301504210662
oct54556421426
916437164303
106001664790
1125aa868650
1211b5b41786
1374852c754
1440d1238a2
15251d660b0
hex165ba2316

6001664790 has 128 divisors (see below), whose sum is σ = 16450781184. Its totient is φ = 1388016000.

The previous prime is 6001664783. The next prime is 6001664791. The reversal of 6001664790 is 974661006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001664791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722199 + ... + 730461.

It is an arithmetic number, because the mean of its divisors is an integer number (128521728).

Almost surely, 26001664790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6001664790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225390592).

6001664790 is an abundant number, since it is smaller than the sum of its proper divisors (10449116394).

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

6001664790 is a wasteful number, since it uses less digits than its factorization.

6001664790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6001664790 is about 77470.4123520715. The cubic root of 6001664790 is about 1817.2886397458.

The spelling of 6001664790 in words is "six billion, one million, six hundred sixty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 71 93 110 142 155 165 186 213 310 330 341 355 426 465 682 710 781 930 1023 1065 1562 1705 2046 2130 2201 2343 3410 3905 4402 4686 5115 6603 7810 8263 10230 11005 11715 13206 16526 22010 23430 24211 24789 33015 41315 48422 49578 66030 72633 82630 90893 121055 123945 145266 181786 242110 247890 256153 272679 363165 454465 512306 545358 586673 726330 768459 908930 1173346 1280765 1363395 1536918 1760019 2561530 2726790 2817683 2933365 3520038 3842295 5635366 5866730 6453403 7684590 8453049 8800095 12906806 14088415 16906098 17600190 18186863 19360209 28176830 32267015 36373726 38720418 42265245 54560589 64534030 84530490 90934315 96801045 109121178 181868630 193602090 200055493 272802945 400110986 545605890 600166479 1000277465 1200332958 2000554930 3000832395 6001664790