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425443898880 = 29335711213243
BaseRepresentation
bin1100011000011100110…
…11101011011000000000
31111200010220202100121000
412030032123223120000
523432302114231010
6523240215132000
742510616321140
oct6141633533000
91450126670530
10425443898880
1115447aa98200
126a554374000
1331171b16500
141683d49a920
15b1005517c0
hex630e6eb600

425443898880 has 2880 divisors, whose sum is σ = 2103450370560. Its totient is φ = 79705866240.

The previous prime is 425443898879. The next prime is 425443898897. The reversal of 425443898880 is 88898344524.

425443898880 is a `hidden beast` number, since 4 + 2 + 544 + 3 + 8 + 9 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4254438988802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 9894044139 + ... + 9894044181.

It is an arithmetic number, because the mean of its divisors is an integer number (730364712).

Almost surely, 2425443898880 is an apocalyptic number.

425443898880 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 425443898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051725185280).

425443898880 is an abundant number, since it is smaller than the sum of its proper divisors (1678006471680).

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

425443898880 is a wasteful number, since it uses less digits than its factorization.

425443898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 425443898880 in words is "four hundred twenty-five billion, four hundred forty-three million, eight hundred ninety-eight thousand, eight hundred eighty".