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642441052530 = 232537192925241
BaseRepresentation
bin10010101100101000111…
…10001000000101110010
32021102020211011220112200
421112110132020011302
541011204402140110
61211044445204030
764262200563024
oct11262436100562
92242224156480
10642441052530
11228504253522
12a4614260616
1348774670344
1423146b1a014
1511aa0cd96c0
hex9594788172

642441052530 has 48 divisors (see below), whose sum is σ = 1715491251864. Its totient is φ = 166687407360.

The previous prime is 642441052523. The next prime is 642441052531. The reversal of 642441052530 is 35250144246.

642441052530 is a `hidden beast` number, since 64 + 2 + 4 + 4 + 10 + 52 + 530 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 641807674641 + 633377889 = 801129^2 + 25167^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (642441052531) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 96459291 + ... + 96465950.

Almost surely, 2642441052530 is an apocalyptic number.

642441052530 is an abundant number, since it is smaller than the sum of its proper divisors (1073050199334).

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

642441052530 is a wasteful number, since it uses less digits than its factorization.

642441052530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192925291 (or 192925288 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 642441052530 its reverse (35250144246), we get a palindrome (677691196776).

The spelling of 642441052530 in words is "six hundred forty-two billion, four hundred forty-one million, fifty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 192925241 385850482 578775723 964626205 1157551446 1736327169 1929252410 2893878615 3472654338 5787757230 7138233917 8681635845 14276467834 17363271690 21414701751 35691169585 42829403502 64244105253 71382339170 107073508755 128488210506 214147017510 321220526265 642441052530