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4756642220 = 22511673131031
BaseRepresentation
bin1000110111000010…
…01001100110101100
3110021111110110110002
410123201021212230
534220200022340
62103555203432
7225605535401
oct43341114654
913244413402
104756642220
112021000780
12b08ba6578
135aa6035c5
14331a342a8
151cc8d5715
hex11b8499ac

4756642220 has 96 divisors (see below), whose sum is σ = 11105773056. Its totient is φ = 1696780800.

The previous prime is 4756642193. The next prime is 4756642223. The reversal of 4756642220 is 222466574.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4756642223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4613105 + ... + 4614135.

It is an arithmetic number, because the mean of its divisors is an integer number (115685136).

Almost surely, 24756642220 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 4756642220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552886528).

4756642220 is an abundant number, since it is smaller than the sum of its proper divisors (6349130836).

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

4756642220 is a wasteful number, since it uses less digits than its factorization.

4756642220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 4756642220 is about 68968.4146548259. The cubic root of 4756642220 is about 1681.7708816252.

The spelling of 4756642220 in words is "four billion, seven hundred fifty-six million, six hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 313 335 626 670 737 1031 1252 1340 1474 1565 2062 2948 3130 3443 3685 4124 5155 6260 6886 7370 10310 11341 13772 14740 17215 20620 20971 22682 34430 41942 45364 56705 68860 69077 83884 104855 113410 138154 209710 226820 230681 276308 322703 345385 419420 461362 645406 690770 759847 922724 1153405 1290812 1381540 1519694 1613515 2306810 3039388 3227030 3549733 3799235 4613620 6454060 7099466 7598470 14198932 15196940 17748665 21621101 35497330 43242202 70994660 86484404 108105505 216211010 237832111 432422020 475664222 951328444 1189160555 2378321110 4756642220