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4628620668 = 2237174497219
BaseRepresentation
bin1000100111110001…
…10010010101111100
3102221120120021220010
410103320302111330
533434411330133
62043143223220
7222462424620
oct42370622574
912846507803
104628620668
111a65810241
12a92147b10
13589c2b4c9
1431ca2b180
151c1548263
hex113e3257c

4628620668 has 96 divisors (see below), whose sum is σ = 13099968000. Its totient is φ = 1241726976.

The previous prime is 4628620657. The next prime is 4628620727. The reversal of 4628620668 is 8660268264.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 637563 + ... + 644781.

It is an arithmetic number, because the mean of its divisors is an integer number (136458000).

Almost surely, 24628620668 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 4628620668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549984000).

4628620668 is an abundant number, since it is smaller than the sum of its proper divisors (8471347332).

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

4628620668 is a wasteful number, since it uses less digits than its factorization.

4628620668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 4628620668 is about 68033.9670164838. The cubic root of 4628620668 is about 1666.5455824745.

The spelling of 4628620668 in words is "four billion, six hundred twenty-eight million, six hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 449 476 714 898 1347 1428 1796 2694 3143 5388 6286 7219 7633 9429 12572 14438 15266 18858 21657 22899 28876 30532 37716 43314 45798 50533 53431 86628 91596 101066 106862 122723 151599 160293 202132 213724 245446 303198 320586 368169 490892 606396 641172 736338 859061 1472676 1718122 2577183 3241331 3436244 5154366 6482662 9723993 10308732 12965324 19447986 22689317 38895972 45378634 55102627 68067951 90757268 110205254 136135902 165307881 220410508 272271804 330615762 385718389 661231524 771436778 1157155167 1542873556 2314310334 4628620668