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4663306720 = 255172959119
BaseRepresentation
bin1000101011111010…
…00110100111100000
3110000222211112012201
410111331012213200
534022301303340
62050422502544
7223363311262
oct42575064740
913028745181
104663306720
111a833513a6
12aa1894a54
135941843b7
14323499b32
151c45ea79a
hex115f469e0

4663306720 has 96 divisors (see below), whose sum is σ = 12067574400. Its totient is φ = 1695031296.

The previous prime is 4663306693. The next prime is 4663306727. The reversal of 4663306720 is 276033664.

It is a self number, because there is not a number n which added to its sum of digits gives 4663306720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663306727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49321 + ... + 108439.

It is an arithmetic number, because the mean of its divisors is an integer number (125703900).

Almost surely, 24663306720 is an apocalyptic number.

4663306720 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 4663306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033787200).

4663306720 is an abundant number, since it is smaller than the sum of its proper divisors (7404267680).

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

4663306720 is a wasteful number, since it uses less digits than its factorization.

4663306720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59180 (or 59172 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The square root of 4663306720 is about 68288.4083867826. The cubic root of 4663306720 is about 1670.6981578954.

The spelling of 4663306720 in words is "four billion, six hundred sixty-three million, three hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 145 160 170 232 272 290 340 464 493 544 580 680 928 986 1160 1360 1972 2320 2465 2720 3944 4640 4930 7888 9860 15776 19720 39440 59119 78880 118238 236476 295595 472952 591190 945904 1005023 1182380 1714451 1891808 2010046 2364760 3428902 4020092 4729520 5025115 6857804 8040184 8572255 9459040 10050230 13715608 16080368 17144510 20100460 27431216 29145667 32160736 34289020 40200920 54862432 58291334 68578040 80401840 116582668 137156080 145728335 160803680 233165336 274312160 291456670 466330672 582913340 932661344 1165826680 2331653360 4663306720