Search a number
-
+
81956301120 = 2633523616761
BaseRepresentation
bin100110001010011111…
…0011110100101000000
321211112200020110122000
41030110332132211000
52320321303113440
6101352235544000
75630645031261
oct1142476364500
9254480213560
1081956301120
1131837217071
1213a72bbb000
13796151bb45
143d768da968
1521ea0ed730
hex1314f9e940

81956301120 has 448 divisors, whose sum is σ = 306685370880. Its totient is φ = 20559052800.

The previous prime is 81956301083. The next prime is 81956301131. The reversal of 81956301120 is 2110365918.

81956301120 is a `hidden beast` number, since 8 + 1 + 9 + 5 + 630 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×819563011202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 12118540 + ... + 12125300.

It is an arithmetic number, because the mean of its divisors is an integer number (684565560).

Almost surely, 281956301120 is an apocalyptic number.

81956301120 is a gapful number since it is divisible by the number (80) 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 81956301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153342685440).

81956301120 is an abundant number, since it is smaller than the sum of its proper divisors (224729069760).

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

81956301120 is a wasteful number, since it uses less digits than its factorization.

81956301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6855 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 81956301120 in words is "eighty-one billion, nine hundred fifty-six million, three hundred one thousand, one hundred twenty".