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425928222720 = 2113757111319
BaseRepresentation
bin1100011001010110100…
…11001110100000000000
31111201101200002120000000
412030223103032200000
523434300111111340
6523400240000000
742525620105040
oct6145323164000
91451350076000
10425928222720
111546a9417940
126a66a600000
133121b270270
1416887931720
15b12cd1ed30
hex632b4ce800

425928222720 has 3072 divisors, whose sum is σ = 2166248448000. Its totient is φ = 77396705280.

The previous prime is 425928222667. The next prime is 425928222761. The reversal of 425928222720 is 27222829524.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 22417274871 + ... + 22417274889.

It is an arithmetic number, because the mean of its divisors is an integer number (705159000).

Almost surely, 2425928222720 is an apocalyptic number.

425928222720 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 425928222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083124224000).

425928222720 is an abundant number, since it is smaller than the sum of its proper divisors (1740320225280).

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

425928222720 is a wasteful number, since it uses less digits than its factorization.

425928222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 425928222720 in words is "four hundred twenty-five billion, nine hundred twenty-eight million, two hundred twenty-two thousand, seven hundred twenty".