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463142126925 = 325217121082909
BaseRepresentation
bin1101011110101010110…
…11000000010101001101
31122021110011121202120100
412233111123000111031
530042003341030200
6552433051041313
745314044060422
oct6572533002515
91567404552510
10463142126925
11169465724975
1275915440239
133489c05321a
14185b8097d49
15c0a9e16d00
hex6bd56c054d

463142126925 has 36 divisors (see below), whose sum is σ = 878335429140. Its totient is φ = 232479183360.

The previous prime is 463142126911. The next prime is 463142126939. The reversal of 463142126925 is 529621241364.

463142126925 is a `hidden beast` number, since 4 + 631 + 4 + 2 + 1 + 2 + 6 + 9 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (463142126911) and next prime (463142126939).

It can be written as a sum of positive squares in 6 ways, for example, as 65875382244 + 397266744681 = 256662^2 + 630291^2 .

It is not a de Polignac number, because 463142126925 - 25 = 463142126893 is a prime.

It is a super-2 number, since 2×4631421269252 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60537630 + ... + 60545279.

It is an arithmetic number, because the mean of its divisors is an integer number (24398206365).

Almost surely, 2463142126925 is an apocalyptic number.

463142126925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463142126925 is a deficient number, since it is larger than the sum of its proper divisors (415193302215).

463142126925 is a wasteful number, since it uses less digits than its factorization.

463142126925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121082942 (or 121082934 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 463142126925 in words is "four hundred sixty-three billion, one hundred forty-two million, one hundred twenty-six thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 121082909 363248727 605414545 1089746181 1816243635 2058409453 3027072725 5448730905 6175228359 9081218175 10292047265 18525685077 27243654525 30876141795 51460236325 92628425385 154380708975 463142126925