Search a number
-
+
32850976704 = 26372131132377
BaseRepresentation
bin11110100110000100…
…100001111111000000
310010210102220112011220
4132212010201333000
51014234322223304
623031434235040
72242035460200
oct364604417700
9103712815156
1032850976704
1112a2857a027
126449885a80
133136c30170
141838d3c400
15cc4082ad9
hex7a6121fc0

32850976704 has 336 divisors, whose sum is σ = 109896359328. Its totient is φ = 8583708672.

The previous prime is 32850976699. The next prime is 32850976709. The reversal of 32850976704 is 40767905823.

It is an interprime number because it is at equal distance from previous prime (32850976699) and next prime (32850976709).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32850976709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13819164 + ... + 13821540.

It is an arithmetic number, because the mean of its divisors is an integer number (327072498).

Almost surely, 232850976704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32850976704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54948179664).

32850976704 is an abundant number, since it is smaller than the sum of its proper divisors (77045382624).

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

32850976704 is a wasteful number, since it uses less digits than its factorization.

32850976704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 32850976704 in words is "thirty-two billion, eight hundred fifty million, nine hundred seventy-six thousand, seven hundred four".