Search a number
-
+
5611006000 = 24534795857
BaseRepresentation
bin1010011100111000…
…10010100000110000
3112111001002122020001
411032130102200300
542442404143000
62324435155344
7256021523035
oct51634224060
915431078201
105611006000
11241a2a2946
121107145b54
136b560bbc2
143b32b138c
1522c8ea46a
hex14e712830

5611006000 has 80 divisors (see below), whose sum is σ = 13598058240. Its totient is φ = 2239334400.

The previous prime is 5611005991. The next prime is 5611006001. The reversal of 5611006000 is 6001165.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5611006001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 955072 + ... + 960928.

It is an arithmetic number, because the mean of its divisors is an integer number (169975728).

Almost surely, 25611006000 is an apocalyptic number.

5611006000 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 5611006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799029120).

5611006000 is an abundant number, since it is smaller than the sum of its proper divisors (7987052240).

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

5611006000 is a wasteful number, since it uses less digits than its factorization.

5611006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5611006000 is about 74906.6485700702. The cubic root of 5611006000 is about 1776.9706078213.

Adding to 5611006000 its reverse (6001165), we get a palindrome (5617007165).

The spelling of 5611006000 in words is "five billion, six hundred eleven million, six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 479 500 958 1000 1916 2000 2395 3832 4790 5857 7664 9580 11714 11975 19160 23428 23950 29285 38320 46856 47900 58570 59875 93712 95800 117140 119750 146425 191600 234280 239500 292850 468560 479000 585700 732125 958000 1171400 1464250 2342800 2805503 2928500 5611006 5857000 11222012 11714000 14027515 22444024 28055030 44888048 56110060 70137575 112220120 140275150 224440240 280550300 350687875 561100600 701375750 1122201200 1402751500 2805503000 5611006000