Search a number
-
+
32680290000 = 2435417139461
BaseRepresentation
bin11110011011111001…
…011010011011010000
310010100112201202001010
4132123321122123100
51013412123240000
623002500010520
72234563611261
oct363371323320
9103315652033
1032680290000
1112950198636
126400690a40
13310a76a407
1418203ca968
15cb40b8d50
hex79be5a6d0

32680290000 has 400 divisors, whose sum is σ = 112749658560. Its totient is φ = 8125440000.

The previous prime is 32680289989. The next prime is 32680290059. The reversal of 32680290000 is 9208623.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 32680290000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70889770 + ... + 70890230.

Almost surely, 232680290000 is an apocalyptic number.

32680290000 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 32680290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56374829280).

32680290000 is an abundant number, since it is smaller than the sum of its proper divisors (80069368560).

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

32680290000 is a wasteful number, since it uses less digits than its factorization.

32680290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 32680290000 its reverse (9208623), we get a palindrome (32689498623).

The spelling of 32680290000 in words is "thirty-two billion, six hundred eighty million, two hundred ninety thousand".