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6080149446480 = 2433523472639901
BaseRepresentation
bin101100001111010010100…
…1001011101111101010000
3210112020221001212021221000
41120132211021131331100
51244104121224241410
620533103155502000
71165163525365614
oct130364511357520
923466831767830
106080149446480
111a3463894291a
128224598b7900
1335148142b885
141703d074b344
15a825a626dc0
hex587a525df50

6080149446480 has 640 divisors, whose sum is σ = 22405377392640. Its totient is φ = 1511957145600.

The previous prime is 6080149446461. The next prime is 6080149446509. The reversal of 6080149446480 is 846449410806.

6080149446480 is a `hidden beast` number, since 6 + 0 + 8 + 0 + 14 + 94 + 464 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 614089530 + ... + 614099430.

It is an arithmetic number, because the mean of its divisors is an integer number (35008402176).

Almost surely, 26080149446480 is an apocalyptic number.

6080149446480 is a gapful number since it is divisible by the number (60) 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 6080149446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11202688696320).

6080149446480 is an abundant number, since it is smaller than the sum of its proper divisors (16325227946160).

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

6080149446480 is a wasteful number, since it uses less digits than its factorization.

6080149446480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 6080149446480 in words is "six trillion, eighty billion, one hundred forty-nine million, four hundred forty-six thousand, four hundred eighty".