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449474199552 = 2223772
BaseRepresentation
bin1101000101001101100…
…00000000000000000000
31120222011122000010000000
412202212300000000000
524331010343341202
6542252520000000
744321250441600
oct6424660000000
91528148003000
10449474199552
11163691516824
1273140000000
1333501491631
1417a7cb42c00
15ba5a02a91c
hex68a6c00000

449474199552 has 552 divisors, whose sum is σ = 1568333964720. Its totient is φ = 128421199872.

The previous prime is 449474199547. The next prime is 449474199589. The reversal of 449474199552 is 255991474944.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

449474199552 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 74 + 1 + 9 + 9 + 552 = 666.

It is a super-2 number, since 2×4494741995522 (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).

Its product of digits (65318400) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 449474199552.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64210599933 + ... + 64210599939.

Almost surely, 2449474199552 is an apocalyptic number.

449474199552 is a gapful number since it is divisible by the number (42) 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 449474199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784166982360).

449474199552 is an abundant number, since it is smaller than the sum of its proper divisors (1118859765168).

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

449474199552 is an frugal number, since it uses more digits than its factorization.

449474199552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 12 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 449474199552 in words is "four hundred forty-nine billion, four hundred seventy-four million, one hundred ninety-nine thousand, five hundred fifty-two".