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258421820641 = 4457213009
BaseRepresentation
bin1111000010101100100…
…1000000110011100001
3220201000212020200011021
43300223021000303201
513213221441230031
6314414540245441
724445635142465
oct3605311006341
9821025220137
10258421820641
119a6614207a6
1242100b40881
131b4a4b1360a
14c7171204a5
156ac7388511
hex3c2b240ce1

258421820641 has 6 divisors (see below), whose sum is σ = 258499684070. Its totient is φ = 258343979136.

The previous prime is 258421820617. The next prime is 258421820711. The reversal of 258421820641 is 146028124852.

It can be written as a sum of positive squares in 3 ways, for example, as 46818140625 + 211603680016 = 216375^2 + 460004^2 .

It is not a de Polignac number, because 258421820641 - 27 = 258421820513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258421821641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19858345 + ... + 19871353.

Almost surely, 2258421820641 is an apocalyptic number.

It is an amenable number.

258421820641 is a deficient number, since it is larger than the sum of its proper divisors (77863429).

258421820641 is an frugal number, since it uses more digits than its factorization.

258421820641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21923 (or 17466 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 258421820641 in words is "two hundred fifty-eight billion, four hundred twenty-one million, eight hundred twenty thousand, six hundred forty-one".

Divisors: 1 4457 13009 19864849 57981113 258421820641