Search a number
-
+
32255136393000 = 2335343594237963
BaseRepresentation
bin1110101010101111110111…
…11100100110011100101000
311020012120010220200021011020
413111113323330212130220
513211432004404034000
6152333445522332440
76536233230426603
oct725277374463450
9136176126607136
1032255136393000
11a306365671184
12374b317aba120
1314cc852c376b1
147d722a89533a
153ae06b9b9ba0
hex1d55fbf26728

32255136393000 has 256 divisors, whose sum is σ = 104721785625600. Its totient is φ = 8258940345600.

The previous prime is 32255136392987. The next prime is 32255136393001. The reversal of 32255136393000 is 39363155223.

It is not an unprimeable number, because it can be changed into a prime (32255136393001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5492019 + ... + 9729981.

It is an arithmetic number, because the mean of its divisors is an integer number (409069475100).

Almost surely, 232255136393000 is an apocalyptic number.

32255136393000 is a gapful number since it is divisible by the number (30) 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 32255136393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52360892812800).

32255136393000 is an abundant number, since it is smaller than the sum of its proper divisors (72466649232600).

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

32255136393000 is a wasteful number, since it uses less digits than its factorization.

32255136393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238089 (or 4238075 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 42.

The spelling of 32255136393000 in words is "thirty-two trillion, two hundred fifty-five billion, one hundred thirty-six million, three hundred ninety-three thousand".