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425443000320 = 21636513137
BaseRepresentation
bin1100011000011100110…
…00010000000000000000
31111200010212001201000000
412030032120100000000
523432301402002240
6523240144000000
742510605556342
oct6141630200000
91450125051000
10425443000320
1115447a534098
126a554000000
1331171890510
141683d305292
15b100425430
hex630e610000

425443000320 has 952 divisors, whose sum is σ = 1660676909976. Its totient is φ = 103960018944.

The previous prime is 425443000277. The next prime is 425443000351. The reversal of 425443000320 is 23000344524.

It can be written as a sum of positive squares in 4 ways, for example, as 12230590464 + 413212409856 = 110592^2 + 642816^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3105423292 + ... + 3105423428.

Almost surely, 2425443000320 is an apocalyptic number.

425443000320 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 425443000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830338454988).

425443000320 is an abundant number, since it is smaller than the sum of its proper divisors (1235233909656).

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

425443000320 is an frugal number, since it uses more digits than its factorization.

425443000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 425443000320 its reverse (23000344524), we get a palindrome (448443344844).

The spelling of 425443000320 in words is "four hundred twenty-five billion, four hundred forty-three million, three hundred twenty", and thus it is an aban number.