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425539033920 = 26355721121371
BaseRepresentation
bin1100011000101000001…
…10100101101101000000
31111200101112202201100000
412030110012211231000
523433000443041140
6523253454200000
742513153051600
oct6142406455500
91450345681300
10425539033920
11154519766600
126a5801b3000
1331188745830
141684bd82c00
15b108a94a30
hex63141a5b40

425539033920 has 3024 divisors, whose sum is σ = 2119548622464. Its totient is φ = 80472268800.

The previous prime is 425539033903. The next prime is 425539033949. The reversal of 425539033920 is 29330935524.

It is a happy number.

425539033920 is a `hidden beast` number, since 4 + 2 + 553 + 9 + 0 + 3 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 431 ways as a sum of consecutive naturals, for example, 5993507485 + ... + 5993507555.

It is an arithmetic number, because the mean of its divisors is an integer number (700908936).

Almost surely, 2425539033920 is an apocalyptic number.

425539033920 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 425539033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059774311232).

425539033920 is an abundant number, since it is smaller than the sum of its proper divisors (1694009588544).

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

425539033920 is a wasteful number, since it uses less digits than its factorization.

425539033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 425539033920 in words is "four hundred twenty-five billion, five hundred thirty-nine million, thirty-three thousand, nine hundred twenty".