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4426721280 = 211365593
BaseRepresentation
bin1000001111101101…
…00110100000000000
3102102111122202000000
410013312212200000
533031220040110
62011132000000
7214461336642
oct40766464000
912374582000
104426721280
111971850243
12a36600000
1355715a807
142ddcb2892
151ad9661c0
hex107da6800

4426721280 has 336 divisors, whose sum is σ = 15951875940. Its totient is φ = 1178468352.

The previous prime is 4426721209. The next prime is 4426721303. The reversal of 4426721280 is 821276244.

It can be written as a sum of positive squares in 2 ways, for example, as 4425974784 + 746496 = 66528^2 + 864^2 .

It is a super-2 number, since 2×44267212802 = 39191722581609676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464664 + ... + 7465256.

Almost surely, 24426721280 is an apocalyptic number.

4426721280 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 4426721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975937970).

4426721280 is an abundant number, since it is smaller than the sum of its proper divisors (11525154660).

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

4426721280 is an frugal number, since it uses more digits than its factorization.

4426721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4426721280 is about 66533.6101530647. The cubic root of 4426721280 is about 1641.9530173395.

The spelling of 4426721280 in words is "four billion, four hundred twenty-six million, seven hundred twenty-one thousand, two hundred eighty".