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6091391040 = 263571771751
BaseRepresentation
bin1011010110001001…
…10100000001000000
3120201112000201121120
411223010310001000
544433344003130
62444235352240
7303643653360
oct55304640100
916645021546
106091391040
112646482279
12121bbb2680
13760cb6bc7
1441addc9a0
15259b8b910
hex16b134040

6091391040 has 448 divisors, whose sum is σ = 23764451328. Its totient is φ = 1290240000.

The previous prime is 6091391039. The next prime is 6091391077. The reversal of 6091391040 is 401931906.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 6091390992 and 6091391010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8110665 + ... + 8111415.

Almost surely, 26091391040 is an apocalyptic number.

6091391040 is a gapful number since it is divisible by the number (60) 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 6091391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882225664).

6091391040 is an abundant number, since it is smaller than the sum of its proper divisors (17673060288).

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

6091391040 is a wasteful number, since it uses less digits than its factorization.

6091391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 6091391040 is about 78047.3640810502. The cubic root of 6091391040 is about 1826.3001721500.

The spelling of 6091391040 in words is "six billion, ninety-one million, three hundred ninety-one thousand, forty".