Search a number
-
+
5613812352 = 2733171947107
BaseRepresentation
bin1010011101001101…
…11111101010000000
3112111020101012211000
411032212333222000
542444113443402
62325015252000
7256054421601
oct51646775200
915436335730
105613812352
11242093a345
12110807a000
136b6082375
143b3801da8
1522cca1c1c
hex14e9bfa80

5613812352 has 512 divisors, whose sum is σ = 19035648000. Its totient is φ = 1617739776.

The previous prime is 5613812339. The next prime is 5613812363. The reversal of 5613812352 is 2532183165.

5613812352 is a `hidden beast` number, since 5 + 613 + 8 + 1 + 2 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52465483 + ... + 52465589.

It is an arithmetic number, because the mean of its divisors is an integer number (37179000).

Almost surely, 25613812352 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 5613812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517824000).

5613812352 is an abundant number, since it is smaller than the sum of its proper divisors (13421835648).

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

5613812352 is a wasteful number, since it uses less digits than its factorization.

5613812352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5613812352 is about 74925.3785576022. The cubic root of 5613812352 is about 1777.2668098371.

The spelling of 5613812352 in words is "five billion, six hundred thirteen million, eight hundred twelve thousand, three hundred fifty-two".