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5005145068 = 2271119185081
BaseRepresentation
bin1001010100101010…
…00111001111101100
3110220211001201021021
410222111013033230
540222304120233
62144353343524
7235014013450
oct45225071754
913824051237
105005145068
112139301630
12b78267ba4
13619c40701
14356a40660
151e4620e2d
hex12a5473ec

5005145068 has 48 divisors (see below), whose sum is σ = 10977619968. Its totient is φ = 1939824000.

The previous prime is 5005145059. The next prime is 5005145077. The reversal of 5005145068 is 8605415005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5005145059) and next prime (5005145077).

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 15 ways as a sum of consecutive naturals, for example, 16288 + ... + 101368.

It is an arithmetic number, because the mean of its divisors is an integer number (228700416).

Almost surely, 25005145068 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 5005145068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488809984).

5005145068 is an abundant number, since it is smaller than the sum of its proper divisors (5972474900).

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

5005145068 is a wasteful number, since it uses less digits than its factorization.

5005145068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85294 (or 85292 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 5005145068 is about 70747.0498890236. The cubic root of 5005145068 is about 1710.5622751110.

The spelling of 5005145068 in words is "five billion, five million, one hundred forty-five thousand, sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 382 764 1337 2101 2674 4202 5348 8404 14707 29414 58828 85081 170162 340324 595567 935891 1191134 1871782 2382268 3743564 6551237 13102474 16250471 26204948 32500942 65001884 113753297 178755181 227506594 357510362 455013188 715020724 1251286267 2502572534 5005145068