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486128856528 = 2433743753239
BaseRepresentation
bin1110001001011111000…
…10011010110111010000
31201110210011012121121000
413010233202122313100
530431042441402103
61011154032302000
750056504050000
oct7045742326720
91643704177530
10486128856528
11178191080067
127a26b6a1900
1336ac3447083
1419758cd0000
15c9a2ea4aa3
hex712f89add0

486128856528 has 800 divisors, whose sum is σ = 1710501235200. Its totient is φ = 132035484672.

The previous prime is 486128856523. The next prime is 486128856533. The reversal of 486128856528 is 825658821684.

486128856528 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 28 + 85 + 6 + 528 = 666.

486128856528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (486128856523) and next prime (486128856533).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486128856523) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2034011833 + ... + 2034012071.

It is an arithmetic number, because the mean of its divisors is an integer number (2138126544).

Almost surely, 2486128856528 is an apocalyptic number.

486128856528 is a gapful number since it is divisible by the number (48) 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 486128856528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855250617600).

486128856528 is an abundant number, since it is smaller than the sum of its proper divisors (1224372378672).

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

486128856528 is a wasteful number, since it uses less digits than its factorization.

486128856528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 341 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 63.

The spelling of 486128856528 in words is "four hundred eighty-six billion, one hundred twenty-eight million, eight hundred fifty-six thousand, five hundred twenty-eight".