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123449074848 = 25321128814021
BaseRepresentation
bin111001011111000100…
…0110110010010100000
3102210122101012202201100
41302332020312102200
54010310430343343
6132413422034400
711630116552131
oct1627610662240
9383571182640
10123449074848
114839986a100
121bb12a18a00
13b844933468
145d91449c88
153327ba39d3
hex1cbe2364a0

123449074848 has 216 divisors, whose sum is σ = 386408075508. Its totient is φ = 37357056000.

The previous prime is 123449074823. The next prime is 123449074877. The reversal of 123449074848 is 848470944321.

123449074848 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 490 + 74 + 84 + 8 = 666.

123449074848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100445892624 + 23003182224 = 316932^2 + 151668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123449074794 and 123449074803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30699078 + ... + 30703098.

Almost surely, 2123449074848 is an apocalyptic number.

123449074848 is a gapful number since it is divisible by the number (18) 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 123449074848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193204037754).

123449074848 is an abundant number, since it is smaller than the sum of its proper divisors (262959000660).

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

123449074848 is a wasteful number, since it uses less digits than its factorization.

123449074848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 123449074848 in words is "one hundred twenty-three billion, four hundred forty-nine million, seventy-four thousand, eight hundred forty-eight".