Search a number
-
+
449299519488 = 21137100313
BaseRepresentation
bin1101000100111000101…
…01101001100000000000
31120221201110022110000000
412202130111221200000
524330131134110423
6542223320000000
744314026621351
oct6423425514000
91527643273000
10449299519488
11163601958036
12730b1600000
13334a4231051
1417a63871d28
15ba49a23843
hex689c569800

449299519488 has 192 divisors, whose sum is σ = 1347377522400. Its totient is φ = 149765013504.

The previous prime is 449299519463. The next prime is 449299519531. The reversal of 449299519488 is 884915992944.

449299519488 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 99 + 51 + 9 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4428820 + ... + 4529132.

Almost surely, 2449299519488 is an apocalyptic number.

449299519488 is a gapful number since it is divisible by the number (48) 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 449299519488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673688761200).

449299519488 is an abundant number, since it is smaller than the sum of its proper divisors (898078002912).

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

449299519488 is an frugal number, since it uses more digits than its factorization.

449299519488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100356 (or 100318 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 449299519488 in words is "four hundred forty-nine billion, two hundred ninety-nine million, five hundred nineteen thousand, four hundred eighty-eight".