Search a number
-
+
9093592139520 = 283573113779657
BaseRepresentation
bin1000010001010100010001…
…0101000100011100000000
31012012100011001221010112010
42010111010111010130000
52142442134041431040
631201312154532520
71625663455554630
oct204250425043400
935170131833463
109093592139520
112996630769869
12102a495737140
1350c6a2c6c2c5
142361bcac86c0
1510b82a0b5e80
hex84544544700

9093592139520 has 576 divisors, whose sum is σ = 34512831553536. Its totient is φ = 1996778373120.

The previous prime is 9093592139507. The next prime is 9093592139537. The reversal of 9093592139520 is 259312953909.

It is a super-2 number, since 2×90935921395202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114119532 + ... + 114199188.

It is an arithmetic number, because the mean of its divisors is an integer number (59918110336).

Almost surely, 29093592139520 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 9093592139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17256415776768).

9093592139520 is an abundant number, since it is smaller than the sum of its proper divisors (25419239414016).

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

9093592139520 is a wasteful number, since it uses less digits than its factorization.

9093592139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79856 (or 79842 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 57.

The spelling of 9093592139520 in words is "nine trillion, ninety-three billion, five hundred ninety-two million, one hundred thirty-nine thousand, five hundred twenty".