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5005100058 = 2372315134313
BaseRepresentation
bin1001010100101001…
…11100010000011010
3110220210222102112020
410222110330100122
540222301200213
62144352355310
7235013435310
oct45224742032
913823872466
105005100058
112139280832
12b78245b36
13619c2608a
14356a2c0b0
151e4612923
hex12a53c41a

5005100058 has 64 divisors (see below), whose sum is σ = 12017037312. Its totient is φ = 1358755200.

The previous prime is 5005100017. The next prime is 5005100059. The reversal of 5005100058 is 8500015005.

It is not an unprimeable number, because it can be changed into a prime (5005100059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128710 + ... + 163022.

It is an arithmetic number, because the mean of its divisors is an integer number (187766208).

Almost surely, 25005100058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005100058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008518656).

5005100058 is an abundant number, since it is smaller than the sum of its proper divisors (7011937254).

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

5005100058 is a wasteful number, since it uses less digits than its factorization.

5005100058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34499.

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 5005100058 is about 70746.7317831714. The cubic root of 5005100058 is about 1710.5571475447.

The spelling of 5005100058 in words is "five billion, five million, one hundred thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 151 161 302 322 453 483 906 966 1057 2114 3171 3473 6342 6946 10419 20838 24311 34313 48622 68626 72933 102939 145866 205878 240191 480382 720573 789199 1441146 1578398 2367597 4735194 5181263 5524393 10362526 11048786 15543789 16573179 31087578 33146358 36268841 72537682 108806523 119169049 217613046 238338098 357507147 715014294 834183343 1668366686 2502550029 5005100058