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483317925120 = 28325711035737
BaseRepresentation
bin1110000100001111111…
…11100100010100000000
31201012112020221111121100
413002013333210110000
530404313342100440
61010011100254400
746630032402462
oct7020777442400
91635466844540
10483317925120
11176a79406758
1279806241400
1336765c90354
141956d862132
15c88b30b230
hex7087fe4500

483317925120 has 432 divisors, whose sum is σ = 1712544567552. Its totient is φ = 125813882880.

The previous prime is 483317925109. The next prime is 483317925133. The reversal of 483317925120 is 21529713384.

It is a happy number.

483317925120 is a `hidden beast` number, since 4 + 8 + 33 + 17 + 92 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 84242892 + ... + 84248628.

It is an arithmetic number, because the mean of its divisors is an integer number (3964223536).

Almost surely, 2483317925120 is an apocalyptic number.

483317925120 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 483317925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856272283776).

483317925120 is an abundant number, since it is smaller than the sum of its proper divisors (1229226642432).

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

483317925120 is a wasteful number, since it uses less digits than its factorization.

483317925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 483317925120 in words is "four hundred eighty-three billion, three hundred seventeen million, nine hundred twenty-five thousand, one hundred twenty".