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425250052524 = 22321121718131727
BaseRepresentation
bin1100011000000101110…
…00001101100110101100
31111122122101222221101100
412030002320031212230
523431403003140044
6523205052243100
742503043543333
oct6140270154654
91448571887340
10425250052524
11154390628600
126a4bb470490
133114090511b
141682183ad1a
15b0dd510869
hex6302e0d9ac

425250052524 has 216 divisors, whose sum is σ = 1257997051584. Its totient is φ = 120609561600.

The previous prime is 425250052519. The next prime is 425250052559.

425250052524 is a `hidden beast` number, since 4 + 2 + 52 + 500 + 52 + 52 + 4 = 666.

425250052524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 13387549 + ... + 13419275.

It is an arithmetic number, because the mean of its divisors is an integer number (5824060424).

Almost surely, 2425250052524 is an apocalyptic number.

425250052524 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 425250052524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628998525792).

425250052524 is an abundant number, since it is smaller than the sum of its proper divisors (832746999060).

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

425250052524 is a wasteful number, since it uses less digits than its factorization.

425250052524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31957 (or 31941 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 425250052524 in words is "four hundred twenty-five billion, two hundred fifty million, fifty-two thousand, five hundred twenty-four".