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482871805920 = 25345741131991
BaseRepresentation
bin1110000011011010110…
…01110000011111100000
31201011101011111022010000
413001231121300133200
530402410140242140
61005454522340000
746613004425430
oct7015531603740
91634334438100
10482871805920
1117686a6007a9
127970095a600
13366c4721baa
141952a4d42c0
15c862087a30
hex706d6707e0

482871805920 has 960 divisors, whose sum is σ = 2012343201792. Its totient is φ = 106748928000.

The previous prime is 482871805919. The next prime is 482871805931. The reversal of 482871805920 is 29508178284.

482871805920 is a `hidden beast` number, since 48 + 2 + 8 + 7 + 1 + 8 + 0 + 592 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 487256625 + ... + 487257615.

Almost surely, 2482871805920 is an apocalyptic number.

482871805920 is a gapful number since it is divisible by the number (40) 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 482871805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006171600896).

482871805920 is an abundant number, since it is smaller than the sum of its proper divisors (1529471395872).

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

482871805920 is a wasteful number, since it uses less digits than its factorization.

482871805920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 482871805920 in words is "four hundred eighty-two billion, eight hundred seventy-one million, eight hundred five thousand, nine hundred twenty".