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5007231104 = 27314726849
BaseRepresentation
bin1001010100111010…
…00100100010000000
3110220221222200202212
410222131010202000
540223322343404
62144510201252
7235040522261
oct45235044200
913827880685
105007231104
11213a4a6927
12b78ab3228
1361a4c1055
14357024968
151e48d406e
hex12a744880

5007231104 has 64 divisors (see below), whose sum is σ = 10516608000. Its totient is φ = 2371215360.

The previous prime is 5007231079. The next prime is 5007231107. The reversal of 5007231104 is 4011327005.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5007231104.

It is not an unprimeable number, because it can be changed into a prime (5007231107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173072 + ... + 199920.

It is an arithmetic number, because the mean of its divisors is an integer number (164322000).

Almost surely, 25007231104 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 5007231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258304000).

5007231104 is an abundant number, since it is smaller than the sum of its proper divisors (5509376896).

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

5007231104 is a wasteful number, since it uses less digits than its factorization.

5007231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26941 (or 26929 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 5007231104 is about 70761.7912718439. The cubic root of 5007231104 is about 1710.7998838664.

Adding to 5007231104 its reverse (4011327005), we get a palindrome (9018558109).

The spelling of 5007231104 in words is "five billion, seven million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 376 496 752 992 1457 1504 1984 2914 3008 3968 5828 6016 11656 23312 26849 46624 53698 93248 107396 186496 214792 429584 832319 859168 1261903 1664638 1718336 2523806 3329276 3436672 5047612 6658552 10095224 13317104 20190448 26634208 39118993 40380896 53268416 78237986 80761792 106536832 156475972 161523584 312951944 625903888 1251807776 2503615552 5007231104