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425511429120 = 210355714817
BaseRepresentation
bin1100011000100100111…
…01010010010000000000
31111200022121211020200000
412030102131102100000
523432421411212440
6523251030400000
742512366320251
oct6142235222000
91450277736600
10425511429120
11154505121718
126a572b00000
1331182acbb2b
1416848438b28
15b106440730
hex6312752400

425511429120 has 528 divisors, whose sum is σ = 1550849908608. Its totient is φ = 111848325120.

The previous prime is 425511429097. The next prime is 425511429131. The reversal of 425511429120 is 21924115524.

425511429120 is a `hidden beast` number, since 4 + 2 + 551 + 14 + 2 + 91 + 2 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88332952 + ... + 88337768.

It is an arithmetic number, because the mean of its divisors is an integer number (2937215736).

Almost surely, 2425511429120 is an apocalyptic number.

425511429120 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 425511429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775424954304).

425511429120 is an abundant number, since it is smaller than the sum of its proper divisors (1125338479488).

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

425511429120 is an equidigital number, since it uses as much as digits as its factorization.

425511429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 425511429120 in words is "four hundred twenty-five billion, five hundred eleven million, four hundred twenty-nine thousand, one hundred twenty".