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4664266320 = 2435726910321
BaseRepresentation
bin1000101100000001…
…10000111001010000
3110001001122021112110
410112000300321100
534023023010240
62050455225320
7223404416040
oct42600607120
913031567473
104664266320
111a8394735a
12aa2078240
1359442c0cc
14323669720
151c4739c80
hex116030e50

4664266320 has 160 divisors (see below), whose sum is σ = 16587866880. Its totient is φ = 1062051840.

The previous prime is 4664266297. The next prime is 4664266333. The reversal of 4664266320 is 236624664.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446760 + ... + 457080.

It is an arithmetic number, because the mean of its divisors is an integer number (103674168).

Almost surely, 24664266320 is an apocalyptic number.

4664266320 is a gapful number since it is divisible by the number (40) 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 4664266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293933440).

4664266320 is an abundant number, since it is smaller than the sum of its proper divisors (11923600560).

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

4664266320 is a wasteful number, since it uses less digits than its factorization.

4664266320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10613 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The square root of 4664266320 is about 68295.4341079988. The cubic root of 4664266320 is about 1670.8127469695.

The spelling of 4664266320 in words is "four billion, six hundred sixty-four million, two hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 269 280 336 420 538 560 807 840 1076 1345 1614 1680 1883 2152 2690 3228 3766 4035 4304 5380 5649 6456 7532 8070 9415 10321 10760 11298 12912 15064 16140 18830 20642 21520 22596 28245 30128 30963 32280 37660 41284 45192 51605 56490 61926 64560 72247 75320 82568 90384 103210 112980 123852 144494 150640 154815 165136 206420 216741 225960 247704 288988 309630 361235 412840 433482 451920 495408 577976 619260 722470 825680 866964 1083705 1155952 1238520 1444940 1733928 2167410 2477040 2776349 2889880 3467856 4334820 5552698 5779760 8329047 8669640 11105396 13881745 16658094 17339280 19434443 22210792 27763490 33316188 38868886 41645235 44421584 55526980 58303329 66632376 77737772 83290470 97172215 111053960 116606658 133264752 155475544 166580940 194344430 222107920 233213316 291516645 310951088 333161880 388688860 466426632 583033290 666323760 777377720 932853264 1166066580 1554755440 2332133160 4664266320