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5609060352 = 21133743337
BaseRepresentation
bin1010011100101001…
…10111100000000000
3112110220102210022000
411032110313200000
542441404412402
62324325344000
7255666140430
oct51624674000
915426383260
105609060352
112419194075
121106568000
136b50aa42c
143b2d262c0
1522c663c1c
hex14e537800

5609060352 has 384 divisors, whose sum is σ = 19488268800. Its totient is φ = 1560674304.

The previous prime is 5609060329. The next prime is 5609060363. The reversal of 5609060352 is 2530609065.

5609060352 is a `hidden beast` number, since 560 + 9 + 0 + 60 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×56090603523 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16643928 + ... + 16644264.

It is an arithmetic number, because the mean of its divisors is an integer number (50750700).

Almost surely, 25609060352 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 5609060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9744134400).

5609060352 is an abundant number, since it is smaller than the sum of its proper divisors (13879208448).

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

5609060352 is a wasteful number, since it uses less digits than its factorization.

5609060352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5609060352 is about 74893.6602924440. The cubic root of 5609060352 is about 1776.7651925472.

The spelling of 5609060352 in words is "five billion, six hundred nine million, sixty thousand, three hundred fifty-two".