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6746665940 = 2257520071
BaseRepresentation
bin1100100100010000…
…11111001111010100
3122102012001010210022
412102020133033110
5102304121302230
63033244244312
7326121500000
oct62210371724
918365033708
106746665940
112952353a83
121383540698
13836996b31
14480053700
152974771e5
hex19221f3d4

6746665940 has 72 divisors (see below), whose sum is σ = 16530014592. Its totient is φ = 2313027360.

The previous prime is 6746665931. The next prime is 6746665943. The reversal of 6746665940 is 495666476.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746665943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326105 + ... + 346175.

It is an arithmetic number, because the mean of its divisors is an integer number (229583536).

Almost surely, 26746665940 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 6746665940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8265007296).

6746665940 is an abundant number, since it is smaller than the sum of its proper divisors (9783348652).

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

6746665940 is an equidigital number, since it uses as much as digits as its factorization.

6746665940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20115 (or 20085 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The square root of 6746665940 is about 82138.0906766160. The cubic root of 6746665940 is about 1889.5703641622.

The spelling of 6746665940 in words is "six billion, seven hundred forty-six million, six hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 16807 20071 24010 33614 40142 48020 67228 80284 84035 100355 140497 168070 200710 280994 336140 401420 561988 702485 983479 1404970 1966958 2809940 3933916 4917395 6884353 9834790 13768706 19669580 27537412 34421765 48190471 68843530 96380942 137687060 192761884 240952355 337333297 481904710 674666594 963809420 1349333188 1686666485 3373332970 6746665940