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6442524020 = 2252343325709
BaseRepresentation
bin1100000000000000…
…10001110101110100
3121121222202010111202
412000000101311310
5101143241232040
62543141352032
7315436356602
oct60000216564
917558663452
106442524020
112806700719
1212b9708618
137b89789ba
144518c2872
1527a8eb015
hex180011d74

6442524020 has 48 divisors (see below), whose sum is σ = 14445889920. Its totient is φ = 2407633536.

The previous prime is 6442523959. The next prime is 6442524041. The reversal of 6442524020 is 204252446.

It is a super-2 number, since 2×64425240202 = 83012231496553920800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 143075 + ... + 182634.

It is an arithmetic number, because the mean of its divisors is an integer number (300956040).

Almost surely, 26442524020 is an apocalyptic number.

It is an amenable number.

6442524020 is an abundant number, since it is smaller than the sum of its proper divisors (8003365900).

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

6442524020 is a wasteful number, since it uses less digits than its factorization.

6442524020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325784 (or 325782 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 6442524020 is about 80265.3351080029. The cubic root of 6442524020 is about 1860.7385223898.

Adding to 6442524020 its reverse (204252446), we get a palindrome (6646776466).

The spelling of 6442524020 in words is "six billion, four hundred forty-two million, five hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 460 860 989 1978 3956 4945 9890 19780 325709 651418 1302836 1628545 3257090 6514180 7491307 14005487 14982614 28010974 29965228 37456535 56021948 70027435 74913070 140054870 149826140 280109740 322126201 644252402 1288504804 1610631005 3221262010 6442524020