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5005004992 = 261312174943
BaseRepresentation
bin1001010100101001…
…00101000011000000
3110220210210121010021
410222110211003000
540222240124432
62144350343224
7235012561201
oct45224450300
913823717107
105005004992
112139216369
12b781bab14
13619bc1a20
14356a055a8
151e45e4697
hex12a5250c0

5005004992 has 56 divisors (see below), whose sum is σ = 10706746176. Its totient is φ = 2307637248.

The previous prime is 5005004981. The next prime is 5005005007. The reversal of 5005004992 is 2994005005.

It is an unprimeable number.

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, 1010073 + ... + 1015015.

It is an arithmetic number, because the mean of its divisors is an integer number (191191896).

Almost surely, 25005004992 is an apocalyptic number.

5005004992 is a gapful number since it is divisible by the number (52) 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 5005004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353373088).

5005004992 is an abundant number, since it is smaller than the sum of its proper divisors (5701741184).

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

5005004992 is a wasteful number, since it uses less digits than its factorization.

5005004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 5005004992 is about 70746.0599044215. The cubic root of 5005004992 is about 1710.5463174678.

Adding to 5005004992 its reverse (2994005005), we get a palindrome (7999009997).

The spelling of 5005004992 in words is "five billion, five million, four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1217 2434 4868 4943 9736 9886 15821 19472 19772 31642 38944 39544 63284 64259 77888 79088 126568 128518 158176 253136 257036 316352 506272 514072 1012544 1028144 2056288 4112576 6015631 12031262 24062524 48125048 78203203 96250096 156406406 192500192 312812812 385000384 625625624 1251251248 2502502496 5005004992