Search a number
-
+
32494166016 = 2133131953101
BaseRepresentation
bin11110010000110011…
…011010000000000000
310002212120111122221020
4132100303122000000
51013022001303031
622532210425440
72230143565614
oct362063320000
9102776448836
1032494166016
1112865122964
12636a292280
1330ab030c90
1418037bb344
15ca2aa1096
hex790cda000

32494166016 has 448 divisors, whose sum is σ = 101066071680. Its totient is φ = 9201254400.

The previous prime is 32494166009. The next prime is 32494166041. The reversal of 32494166016 is 61066149423.

It is a happy number.

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, 321724366 + ... + 321724466.

It is an arithmetic number, because the mean of its divisors is an integer number (225593910).

Almost surely, 232494166016 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 32494166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50533035840).

32494166016 is an abundant number, since it is smaller than the sum of its proper divisors (68571905664).

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

32494166016 is a wasteful number, since it uses less digits than its factorization.

32494166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 32494166016 in words is "thirty-two billion, four hundred ninety-four million, one hundred sixty-six thousand, sixteen".