Search a number
-
+
5394624429600 = 25345271741113151
BaseRepresentation
bin100111010000000100010…
…1011000011111000100000
3201002201110122121020010000
41032200020223003320200
51201341142323221400
615250131203340000
71064514552032220
oct116401053037040
921081418536100
105394624429600
11179a93594229a
12731620981600
13301931b06b03
1414915ba42080
15954d7228600
hex4e808ac3e20

5394624429600 has 2880 divisors, whose sum is σ = 24765541903872. Its totient is φ = 1114767360000.

The previous prime is 5394624429581. The next prime is 5394624429611. The reversal of 5394624429600 is 69244264935.

5394624429600 is a `hidden beast` number, since 5 + 3 + 9 + 4 + 6 + 2 + 4 + 4 + 29 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 35725989525 + ... + 35725989675.

Almost surely, 25394624429600 is an apocalyptic number.

5394624429600 is a gapful number since it is divisible by the number (50) 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 5394624429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382770951936).

5394624429600 is an abundant number, since it is smaller than the sum of its proper divisors (19370917474272).

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

5394624429600 is a wasteful number, since it uses less digits than its factorization.

5394624429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 5394624429600 in words is "five trillion, three hundred ninety-four billion, six hundred twenty-four million, four hundred twenty-nine thousand, six hundred".