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671886996480 = 210325722931331
BaseRepresentation
bin10011100011011111001…
…01011111010000000000
32101020020221220211220100
421301233211133100000
542002011032341410
61232354410042400
766353662145100
oct11615745372000
92336227824810
10671886996480
11239a44769a97
12aa271719400
134b488004a0b
142473b73b200
1512725e6d8c0
hex9c6f95f400

671886996480 has 1584 divisors, whose sum is σ = 2900658608640. Its totient is φ = 143061811200.

The previous prime is 671886996437. The next prime is 671886996497. The reversal of 671886996480 is 84699688176.

671886996480 is a `hidden beast` number, since 6 + 7 + 1 + 88 + 69 + 9 + 6 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 671886996399 and 671886996408.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 2029869915 + ... + 2029870245.

Almost surely, 2671886996480 is an apocalyptic number.

671886996480 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 671886996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450329304320).

671886996480 is an abundant number, since it is smaller than the sum of its proper divisors (2228771612160).

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

671886996480 is a wasteful number, since it uses less digits than its factorization.

671886996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 671886996480 in words is "six hundred seventy-one billion, eight hundred eighty-six million, nine hundred ninety-six thousand, four hundred eighty".