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4630068300 = 223521113107927
BaseRepresentation
bin1000100111111100…
…10011110001001100
3102221200021211200010
410103332103301030
533440244141200
62043234233220
7222510634254
oct42376236114
912850254603
104630068300
111a66609930
12a92725810
1358a3173b0
1431ccc6964
151c1732150
hex113f93c4c

4630068300 has 144 divisors (see below), whose sum is σ = 15738492672. Its totient is φ = 1036089600.

The previous prime is 4630068293. The next prime is 4630068329. The reversal of 4630068300 is 38600364.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 11064 + ... + 96863.

It is an arithmetic number, because the mean of its divisors is an integer number (109295088).

Almost surely, 24630068300 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 4630068300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869246336).

4630068300 is an abundant number, since it is smaller than the sum of its proper divisors (11108424372).

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

4630068300 is a wasteful number, since it uses less digits than its factorization.

4630068300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107968 (or 107961 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4630068300 is about 68044.6052233386. The cubic root of 4630068300 is about 1666.7193054486.

Adding to 4630068300 its reverse (38600364), we get a palindrome (4668668664).

The spelling of 4630068300 in words is "four billion, six hundred thirty million, sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 107927 215854 323781 431708 539635 647562 1079270 1187197 1295124 1403051 1618905 2158540 2374394 2698175 2806102 3237810 3561591 4209153 4748788 5396350 5612204 5935985 6475620 7015255 7123182 8094525 8418306 10792700 11871970 14030510 14246364 15433561 16189050 16836612 17807955 21045765 23743940 28061020 29679925 30867122 32378100 35076275 35615910 42091530 46300683 59359850 61734244 70152550 71231820 77167805 84183060 89039775 92601366 105228825 118719700 140305100 154335610 178079550 185202732 210457650 231503415 308671220 356159100 385839025 420915300 463006830 771678050 926013660 1157517075 1543356100 2315034150 4630068300