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12160091580 = 223571319251467
BaseRepresentation
bin10110101001100110…
…00100010110111100
31011101110100122201020
423110303010112330
5144400440412310
65330344544140
7610224034020
oct132463042674
934343318636
1012160091580
11518006686a
122434482050
1311ba387b80
14834db2380
154b2845170
hex2d4cc45bc

12160091580 has 384 divisors, whose sum is σ = 44381675520. Its totient is φ = 2415744000.

The previous prime is 12160091569. The next prime is 12160091609. The reversal of 12160091580 is 8519006121.

12160091580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26038507 + ... + 26038973.

It is an arithmetic number, because the mean of its divisors is an integer number (115577280).

Almost surely, 212160091580 is an apocalyptic number.

12160091580 is a gapful number since it is divisible by the number (10) 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 12160091580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190837760).

12160091580 is an abundant number, since it is smaller than the sum of its proper divisors (32221583940).

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

12160091580 is a wasteful number, since it uses less digits than its factorization.

12160091580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 12160091580 in words is "twelve billion, one hundred sixty million, ninety-one thousand, five hundred eighty".