Search a number
-
+
449273349096 = 2331113227736353
BaseRepresentation
bin1101000100110101100…
…01110100001111101000
31120221122122001211222020
412202122301310033220
524330102434132341
6542220543024440
744313261313005
oct6423261641750
91527578054866
10449273349096
11163599102910
12730a489b120
133349b99a200
1417a601bc8ac
15ba475a4566
hex689ac743e8

449273349096 has 192 divisors, whose sum is σ = 1331620845120. Its totient is φ = 125213736960.

The previous prime is 449273349073. The next prime is 449273349191. The reversal of 449273349096 is 690943372944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12340456 + ... + 12376808.

It is an arithmetic number, because the mean of its divisors is an integer number (6935525235).

Almost surely, 2449273349096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449273349096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665810422560).

449273349096 is an abundant number, since it is smaller than the sum of its proper divisors (882347496024).

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

449273349096 is a wasteful number, since it uses less digits than its factorization.

449273349096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36676 (or 36659 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 60.

The spelling of 449273349096 in words is "four hundred forty-nine billion, two hundred seventy-three million, three hundred forty-nine thousand, ninety-six".