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5005100500 = 225347373571
BaseRepresentation
bin1001010100101001…
…11100010111010100
3110220210222110010121
410222110330113110
540222301204000
62144352401324
7235013436511
oct45224742724
913823873117
105005100500
1121392810a4
12b78246244
13619c2633a
14356a2c308
151e4612b1a
hex12a53c5d4

5005100500 has 96 divisors (see below), whose sum is σ = 11213250048. Its totient is φ = 1950768000.

The previous prime is 5005100491. The next prime is 5005100501. The reversal of 5005100500 is 50015005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005100501) 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, 8765215 + ... + 8765785.

It is an arithmetic number, because the mean of its divisors is an integer number (116804688).

Almost surely, 25005100500 is an apocalyptic number.

5005100500 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 5005100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606625024).

5005100500 is an abundant number, since it is smaller than the sum of its proper divisors (6208149548).

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

5005100500 is a wasteful number, since it uses less digits than its factorization.

5005100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 5005100500 is about 70746.7349069906. The cubic root of 5005100500 is about 1710.5571978978.

Adding to 5005100500 its reverse (50015005), we get a palindrome (5055115505).

It can be divided in two parts, 500 and 5100500, that multiplied together give a square (2550250000 = 505002).

The spelling of 5005100500 in words is "five billion, five million, one hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 373 470 500 571 746 940 1142 1175 1492 1865 2284 2350 2855 3730 4700 5710 5875 7460 9325 11420 11750 14275 17531 18650 23500 26837 28550 35062 37300 46625 53674 57100 70124 71375 87655 93250 107348 134185 142750 175310 186500 212983 268370 285500 350620 425966 438275 536740 670925 851932 876550 1064915 1341850 1753100 2129830 2191375 2683700 3354625 4259660 4382750 5324575 6709250 8765500 10010201 10649150 13418500 20020402 21298300 26622875 40040804 50051005 53245750 100102010 106491500 200204020 250255025 500510050 1001020100 1251275125 2502550250 5005100500