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5909023014048 = 253671137671327
BaseRepresentation
bin101010111111100110100…
…1101111011110010100000
3202220220012222021211000000
41111333031031323302200
51233303134342422143
620322322342300000
71146625045615110
oct125771515736240
922826188254000
105909023014048
111979003497360
127b525ba27600
1333b2abcca92b
14165dd9255040
15a3a91e73bd3
hex55fcd37bca0

5909023014048 has 1344 divisors, whose sum is σ = 22684150960128. Its totient is φ = 1469932738560.

The previous prime is 5909023014043. The next prime is 5909023014077. The reversal of 5909023014048 is 8404103209095.

5909023014048 is a `hidden beast` number, since 5 + 9 + 0 + 9 + 0 + 230 + 1 + 404 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5909023013994 and 5909023014012.

It is not an unprimeable number, because it can be changed into a prime (5909023014043) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4452917961 + ... + 4452919287.

It is an arithmetic number, because the mean of its divisors is an integer number (16878088512).

Almost surely, 25909023014048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5909023014048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11342075480064).

5909023014048 is an abundant number, since it is smaller than the sum of its proper divisors (16775127946080).

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

5909023014048 is a wasteful number, since it uses less digits than its factorization.

5909023014048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5909023014048 in words is "five trillion, nine hundred nine billion, twenty-three million, fourteen thousand, forty-eight".