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486235248000 = 2735331283127
BaseRepresentation
bin1110001001101011110…
…00010001010110000000
31201111001120101212020220
413010311320101112000
530431302210414000
61011212352503040
750062235262135
oct7046570212600
91644046355226
10486235248000
111782361375a7
127a29b24aa80
1336b0c4b7ac8
14197690a658c
15c9ac4bd1a0
hex7135e11580

486235248000 has 768 divisors, whose sum is σ = 1698882232320. Its totient is φ = 122992128000.

The previous prime is 486235247957. The next prime is 486235248001. The reversal of 486235248000 is 842532684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486235248001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3828623937 + ... + 3828624063.

It is an arithmetic number, because the mean of its divisors is an integer number (2212086240).

Almost surely, 2486235248000 is an apocalyptic number.

486235248000 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 486235248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849441116160).

486235248000 is an abundant number, since it is smaller than the sum of its proper divisors (1212646984320).

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

486235248000 is a wasteful number, since it uses less digits than its factorization.

486235248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 486235248000 in words is "four hundred eighty-six billion, two hundred thirty-five million, two hundred forty-eight thousand".