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485933943040 = 285713107127307
BaseRepresentation
bin1110001001000111110…
…10111000100100000000
31201110021120102222112221
413010203322320210000
530430143042134130
61011122430500424
750051616236050
oct7044372704400
91643246388487
10485933943040
111780a1051737
127a216364714
1336a91c51050
141973b073560
15c990d0287a
hex7123eb8900

485933943040 has 576 divisors, whose sum is σ = 1462091710464. Its totient is φ = 150660808704.

The previous prime is 485933943023. The next prime is 485933943049. The reversal of 485933943040 is 40349339584.

It is a happy number.

It is a super-3 number, since 3×4859339430403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (485933943049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1582846567 + ... + 1582846873.

It is an arithmetic number, because the mean of its divisors is an integer number (2538353664).

Almost surely, 2485933943040 is an apocalyptic number.

485933943040 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 485933943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731045855232).

485933943040 is an abundant number, since it is smaller than the sum of its proper divisors (976157767424).

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

485933943040 is a wasteful number, since it uses less digits than its factorization.

485933943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 485933943040 in words is "four hundred eighty-five billion, nine hundred thirty-three million, nine hundred forty-three thousand, forty".