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449890222080 = 21835132677
BaseRepresentation
bin1101000101111111000…
…11000000000000000000
31121000020121211020121210
412202333203000000000
524332333344101310
6542402100450120
744334461535345
oct6427743000000
91530217736553
10449890222080
111638853356a2
12732373a9940
1333569722b00
1417abc0b87cc
15ba81806820
hex68bf8c0000

449890222080 has 456 divisors, whose sum is σ = 1561209245712. Its totient is φ = 110578630656.

The previous prime is 449890222049. The next prime is 449890222109. The reversal of 449890222080 is 80222098944.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664534702 + ... + 664535378.

Almost surely, 2449890222080 is an apocalyptic number.

449890222080 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 449890222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780604622856).

449890222080 is an abundant number, since it is smaller than the sum of its proper divisors (1111319023632).

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

449890222080 is an frugal number, since it uses more digits than its factorization.

449890222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 449890222080 in words is "four hundred forty-nine billion, eight hundred ninety million, two hundred twenty-two thousand, eighty".