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42125417505 = 325936120389
BaseRepresentation
bin100111001110110111…
…101101110000100001
311000201210101221012100
4213032313231300201
51142233101330010
631204021521013
73020623066203
oct471667556041
9130653357170
1042125417505
1116957777736
1281b7873169
133c844cc662
142078992773
1511683c02c0
hex9cededc21

42125417505 has 12 divisors (see below), whose sum is σ = 73017390420. Its totient is φ = 22466889312.

The previous prime is 42125417483. The next prime is 42125417549. The reversal of 42125417505 is 50571452124.

42125417505 is a `hidden beast` number, since 42 + 1 + 2 + 541 + 75 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5940247329 + 36185170176 = 77073^2 + 190224^2 .

It is not a de Polignac number, because 42125417505 - 25 = 42125417473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42125417505.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468060150 + ... + 468060239.

It is an arithmetic number, because the mean of its divisors is an integer number (6084782535).

Almost surely, 242125417505 is an apocalyptic number.

42125417505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42125417505 is a deficient number, since it is larger than the sum of its proper divisors (30891972915).

42125417505 is a wasteful number, since it uses less digits than its factorization.

42125417505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936120400 (or 936120397 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 42125417505 its reverse (50571452124), we get a palindrome (92696869629).

The spelling of 42125417505 in words is "forty-two billion, one hundred twenty-five million, four hundred seventeen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 936120389 2808361167 4680601945 8425083501 14041805835 42125417505