Search a number
-
+
81893480032 = 25713412812441
BaseRepresentation
bin100110001000100111…
…0110101011001100000
321211101022000211022001
41030101032311121200
52320204212330112
6101342113253344
75626253044360
oct1142116653140
9254338024261
1081893480032
1131804809711
1213a55b64254
1379514c4ac0
143d6c4269a0
1521e483ec57
hex13113b5660

81893480032 has 192 divisors, whose sum is σ = 204081026688. Its totient is φ = 31481856000.

The previous prime is 81893480023. The next prime is 81893480069. The reversal of 81893480032 is 23008439818.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33547932 + ... + 33550372.

It is an arithmetic number, because the mean of its divisors is an integer number (1062922014).

Almost surely, 281893480032 is an apocalyptic number.

81893480032 is a gapful number since it is divisible by the number (82) 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 81893480032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102040513344).

81893480032 is an abundant number, since it is smaller than the sum of its proper divisors (122187546656).

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

81893480032 is a wasteful number, since it uses less digits than its factorization.

81893480032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 81893480032 in words is "eighty-one billion, eight hundred ninety-three million, four hundred eighty thousand, thirty-two".