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4368417620 = 2257213732537
BaseRepresentation
bin1000001000110000…
…01100001101010100
3102021102221121102012
410010120030031110
532421303330440
62001250203352
7213152636300
oct40430141524
912242847365
104368417620
1119419488a6
12a1ab83558
135480559c8
142d6256d00
151a879ae65
hex10460c354

4368417620 has 72 divisors (see below), whose sum is σ = 10749644136. Its totient is φ = 1486765056.

The previous prime is 4368417589. The next prime is 4368417667. The reversal of 4368417620 is 267148634.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 4368416836 = 28^2 + 66094^2 .

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 23 ways as a sum of consecutive naturals, for example, 117992 + ... + 150528.

It is an arithmetic number, because the mean of its divisors is an integer number (149300613).

Almost surely, 24368417620 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 4368417620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374822068).

4368417620 is an abundant number, since it is smaller than the sum of its proper divisors (6381226516).

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

4368417620 is a wasteful number, since it uses less digits than its factorization.

4368417620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32697 (or 32688 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 4368417620 is about 66094.0059309466. The cubic root of 4368417620 is about 1634.7124995207.

The spelling of 4368417620 in words is "four billion, three hundred sixty-eight million, four hundred seventeen thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 137 140 196 245 274 490 548 685 959 980 1370 1918 2740 3836 4795 6713 9590 13426 19180 26852 32537 33565 65074 67130 130148 134260 162685 227759 325370 455518 650740 911036 1138795 1594313 2277590 3188626 4457569 4555180 6377252 7971565 8915138 15943130 17830276 22287845 31202983 31886260 44575690 62405966 89151380 124811932 156014915 218420881 312029830 436841762 624059660 873683524 1092104405 2184208810 4368417620