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442618968425 = 522322333792
BaseRepresentation
bin1100111000011100010…
…01010111100101101001
31120022110212200021202212
412130032021113211221
524222440423442200
6535200352334505
743656340104164
oct6341611274551
91508425607685
10442618968425
11160793961157
1271948244435
133297b17555a
14175cc50cadb
15b7a82ab035
hex670e257969

442618968425 has 54 divisors (see below), whose sum is σ = 577734768702. Its totient is φ = 336356254080.

The previous prime is 442618968413. The next prime is 442618968427. The reversal of 442618968425 is 524869816244.

It can be written as a sum of positive squares in 3 ways, for example, as 3723318361 + 438895650064 = 61019^2 + 662492^2 .

It is not a de Polignac number, because 442618968425 - 26 = 442618968361 is a prime.

It is a super-2 number, since 2×4426189684252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (26542080) is a multiple of the sum of its prime divisors (640).

It is not an unprimeable number, because it can be changed into a prime (442618968427) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1167859886 + ... + 1167860264.

It is an arithmetic number, because the mean of its divisors is an integer number (10698792013).

Almost surely, 2442618968425 is an apocalyptic number.

It is an amenable number.

442618968425 is a deficient number, since it is larger than the sum of its proper divisors (135115800277).

442618968425 is an equidigital number, since it uses as much as digits as its factorization.

442618968425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 640 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 59.

The spelling of 442618968425 in words is "four hundred forty-two billion, six hundred eighteen million, nine hundred sixty-eight thousand, four hundred twenty-five".

Divisors: 1 5 23 25 115 233 379 529 575 1165 1895 2645 5359 5825 8717 9475 13225 26795 43585 88307 123257 133975 143641 200491 217925 441535 616285 718205 1002455 2031061 2207675 3081425 3303743 3591025 5012275 10155305 16518715 33468353 46714403 50776525 75986089 82593575 167341765 233572015 379930445 769772119 836708825 1167860075 1899652225 3848860595 17704758737 19244302975 88523793685 442618968425