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425514415524 = 2231133746720483
BaseRepresentation
bin1100011000100101010…
…00101011010110100100
31111200022211102222020120
412030102220223112210
523432423142244044
6523251214401540
742512433566052
oct6142250532644
91450284388216
10425514415524
11154506881420
126a573b002b0
1331183606233
14168489b51d2
15b106830519
hex6312a2b5a4

425514415524 has 96 divisors (see below), whose sum is σ = 1088720994816. Its totient is φ = 128279585280.

The previous prime is 425514415511. The next prime is 425514415559.

425514415524 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20763787 + ... + 20784269.

It is an arithmetic number, because the mean of its divisors is an integer number (11340843696).

Almost surely, 2425514415524 is an apocalyptic number.

425514415524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425514415524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544360497408).

425514415524 is an abundant number, since it is smaller than the sum of its proper divisors (663206579292).

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

425514415524 is a wasteful number, since it uses less digits than its factorization.

425514415524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21305 (or 21303 counting only the distinct ones).

The product of its digits is 640000, while the sum is 42.

The spelling of 425514415524 in words is "four hundred twenty-five billion, five hundred fourteen million, four hundred fifteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 467 674 934 1011 1348 1401 1868 2022 2802 3707 4044 5137 5604 7414 10274 11121 14828 15411 20483 20548 22242 30822 40966 44484 61449 61644 81932 122898 157379 225313 245796 314758 450626 472137 629516 675939 901252 944274 1351878 1731169 1888548 2703756 3462338 5193507 6902771 6924676 9565561 10387014 13805542 19131122 20708313 20774028 27611084 28696683 38262244 41416626 57393366 75930481 82833252 105221171 114786732 151860962 210442342 227791443 303721924 315663513 420884684 455582886 631327026 911165772 1262654052 3223594057 6447188114 9670782171 12894376228 19341564342 35459534627 38683128684 70919069254 106378603881 141838138508 212757207762 425514415524