Search a number
-
+
425328727752 = 233251893113837
BaseRepresentation
bin1100011000001111001…
…00010101011011001000
31111122211220001001111200
412030013210111123020
523432033123242002
6523220542424200
742505020351225
oct6140744253310
91448756031450
10425328727752
11154420a84455
126a521892060
1331153cc0506
141682c07a94c
15b0e53a1b1c
hex63079156c8

425328727752 has 48 divisors (see below), whose sum is σ = 1151964288540. Its totient is φ = 141772265088.

The previous prime is 425328727751. The next prime is 425328727819. The reversal of 425328727752 is 257727823524.

It is a happy number.

425328727752 is a `hidden beast` number, since 4 + 2 + 532 + 87 + 27 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 354898998756 + 70429728996 = 595734^2 + 265386^2 .

It is a super-2 number, since 2×4253287277522 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (425328727751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3679378 + ... + 3793214.

Almost surely, 2425328727752 is an apocalyptic number.

It is an amenable number.

425328727752 is an abundant number, since it is smaller than the sum of its proper divisors (726635560788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425328727752 is a wasteful number, since it uses less digits than its factorization.

425328727752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165742 (or 165735 counting only the distinct ones).

The product of its digits is 13171200, while the sum is 54.

The spelling of 425328727752 in words is "four hundred twenty-five billion, three hundred twenty-eight million, seven hundred twenty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 51893 103786 113837 155679 207572 227674 311358 341511 415144 455348 467037 622716 683022 910696 934074 1024533 1245432 1366044 1868148 2049066 2732088 3736296 4098132 8196264 5907343441 11814686882 17722030323 23629373764 35444060646 47258747528 53166090969 70888121292 106332181938 141776242584 212664363876 425328727752