Search a number
-
+
32132646665064 = 2336111135344119
BaseRepresentation
bin1110100111001011101101…
…11111010111101101101000
311012202211222101122101000000
413103211312333113231220
513202430130021240224
6152201311210343000
76524335640060301
oct723456677275550
9135684871571000
1032132646665064
11a269419389670
12372b63242aa60
1314c1131ca953a
147d132aa137a8
153aac9d1670c9
hex1d3976fd7b68

32132646665064 has 224 divisors, whose sum is σ = 98554636555200. Its totient is φ = 9736087299840.

The previous prime is 32132646664991. The next prime is 32132646665081. The reversal of 32132646665064 is 46056664623123.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 32132646665064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 728295597 + ... + 728339715.

It is an arithmetic number, because the mean of its divisors is an integer number (439976056050).

Almost surely, 232132646665064 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 32132646665064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49277318277600).

32132646665064 is an abundant number, since it is smaller than the sum of its proper divisors (66421989890136).

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

32132646665064 is a wasteful number, since it uses less digits than its factorization.

32132646665064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55507 (or 55488 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 32132646665064 in words is "thirty-two trillion, one hundred thirty-two billion, six hundred forty-six million, six hundred sixty-five thousand, sixty-four".