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42412115525 = 5213172451553
BaseRepresentation
bin100111011111111101…
…011000011001000101
311001110202212200221112
4213133331120121011
51143330000144100
631252302454405
73031004014403
oct473775303105
9131422780845
1042412115525
1116a9459614a
128277894405
133ccba20960
1420a4aa2473
151183652b35
hex9dff58645

42412115525 has 36 divisors (see below), whose sum is σ = 60164151852. Its totient is φ = 29477314560.

The previous prime is 42412115521. The next prime is 42412115549. The reversal of 42412115525 is 52551121424.

It can be written as a sum of positive squares in 18 ways, for example, as 11335009156 + 31077106369 = 106466^2 + 176287^2 .

It is not a de Polignac number, because 42412115525 - 22 = 42412115521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42412115491 and 42412115500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412115521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131852 + ... + 319701.

Almost surely, 242412115525 is an apocalyptic number.

It is an amenable number.

42412115525 is a deficient number, since it is larger than the sum of its proper divisors (17752036327).

42412115525 is a wasteful number, since it uses less digits than its factorization.

42412115525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451610 (or 451588 counting only the distinct ones).

The product of its digits is 16000, while the sum is 32.

Adding to 42412115525 its reverse (52551121424), we get a palindrome (94963236949).

The spelling of 42412115525 in words is "forty-two billion, four hundred twelve million, one hundred fifteen thousand, five hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 289 325 425 1105 1445 3757 5525 7225 18785 93925 451553 2257765 5870189 7676401 11288825 29350945 38382005 99793213 130498817 146754725 191910025 498966065 652494085 1696484621 2494830325 3262470425 8482423105 42412115525