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425268862524 = 22331131103112111
BaseRepresentation
bin1100011000000111111…
…11111101111000111100
31111122200201101120212000
412030003333331320330
523431422312100044
6523211003342300
742503362455102
oct6140377757074
91448621346760
10425268862524
111543a0205860
126a505821990
133114478c9bc
1416824135c72
15b0deec8d69
hex6303ffde3c

425268862524 has 192 divisors, whose sum is σ = 1253645352960. Its totient is φ = 123500376000.

The previous prime is 425268862511. The next prime is 425268862597.

425268862524 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 6 + 8 + 8 + 625 + 2 + 4 = 666.

425268862524 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3737229 + ... + 3849339.

It is an arithmetic number, because the mean of its divisors is an integer number (6529402880).

Almost surely, 2425268862524 is an apocalyptic number.

425268862524 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 425268862524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626822676480).

425268862524 is an abundant number, since it is smaller than the sum of its proper divisors (828376490436).

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

425268862524 is a wasteful number, since it uses less digits than its factorization.

425268862524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112269 (or 112261 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 425268862524 in words is "four hundred twenty-five billion, two hundred sixty-eight million, eight hundred sixty-two thousand, five hundred twenty-four".