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425839812120 = 233252385360293
BaseRepresentation
bin1100011001001100000…
…01111101111000011000
31111201011111201211110100
412030212001331320120
523434104442441440
6523343401015400
742523464452142
oct6144601757030
91451144654410
10425839812120
11154663521728
126a644a84560
1331205b568b8
1416879cb9c92
15b1251a9230
hex632607de18

425839812120 has 192 divisors, whose sum is σ = 1445869414080. Its totient is φ = 108490871808.

The previous prime is 425839812113. The next prime is 425839812131. The reversal of 425839812120 is 21218938524.

425839812120 is a `hidden beast` number, since 4 + 258 + 398 + 1 + 2 + 1 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7032694 + ... + 7092986.

It is an arithmetic number, because the mean of its divisors is an integer number (7530569865).

Almost surely, 2425839812120 is an apocalyptic number.

425839812120 is a gapful number since it is divisible by the number (40) 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 425839812120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722934707040).

425839812120 is an abundant number, since it is smaller than the sum of its proper divisors (1020029601960).

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

425839812120 is a wasteful number, since it uses less digits than its factorization.

425839812120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61186 (or 61179 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 425839812120 in words is "four hundred twenty-five billion, eight hundred thirty-nine million, eight hundred twelve thousand, one hundred twenty".