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5105522500 = 225413295417
BaseRepresentation
bin1001100000101000…
…00001011101000100
3111011210221102012221
410300110001131010
540424003210000
62202341022124
7240343140151
oct46024013504
914153842187
105105522500
11218aa30691
12ba59b4944
13634986c40
143660cd228
151ed34c61a
hex130501744

5105522500 has 120 divisors (see below), whose sum is σ = 12440486520. Its totient is φ = 1819776000.

The previous prime is 5105522491. The next prime is 5105522507. The reversal of 5105522500 is 52255015.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 4593315076 + 512207424 = 67774^2 + 22632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5105522507) 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 39 ways as a sum of consecutive naturals, for example, 939792 + ... + 945208.

It is an arithmetic number, because the mean of its divisors is an integer number (103670721).

Almost surely, 25105522500 is an apocalyptic number.

5105522500 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 5105522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220243260).

5105522500 is an abundant number, since it is smaller than the sum of its proper divisors (7334964020).

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

5105522500 is a wasteful number, since it uses less digits than its factorization.

5105522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 5105522500 is about 71452.9390578162. The cubic root of 5105522500 is about 1721.9216961259.

Adding to 5105522500 its reverse (52255015), we get a palindrome (5157777515).

The spelling of 5105522500 in words is "five billion, one hundred five million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 125 130 145 250 260 290 325 377 500 580 625 650 725 754 1250 1300 1450 1508 1625 1885 2500 2900 3250 3625 3770 5417 6500 7250 7540 8125 9425 10834 14500 16250 18125 18850 21668 27085 32500 36250 37700 47125 54170 70421 72500 94250 108340 135425 140842 157093 188500 235625 270850 281684 314186 352105 471250 541700 628372 677125 704210 785465 942500 1354250 1408420 1570930 1760525 2042209 2708500 3141860 3385625 3521050 3927325 4084418 6771250 7042100 7854650 8168836 8802625 10211045 13542500 15709300 17605250 19636625 20422090 35210500 39273250 40844180 44013125 51055225 78546500 88026250 98183125 102110450 176052500 196366250 204220900 255276125 392732500 510552250 1021104500 1276380625 2552761250 5105522500