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5171048100 = 223452172472
BaseRepresentation
bin1001101000011011…
…11110111010100100
3111100101020110110000
410310031332322210
541042242014400
62213041301300
7242100116661
oct46415767244
914311213400
105171048100
112213a15a79
121003934830
13645419c9a
14370aa8a68
15203e92600
hex13437eea4

5171048100 has 405 divisors, whose sum is σ = 18193449043. Its totient is φ = 1270218240.

The previous prime is 5171048081. The next prime is 5171048101. The reversal of 5171048100 is 18401715.

The square root of 5171048100 is 71910.

It is a perfect power (a square), and thus also a powerful number.

5171048100 is a `hidden beast` number, since 517 + 1 + 0 + 48 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120956004 + 5050092096 = 10998^2 + 71064^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×51710481002 = 53479476905027220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5171048101) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 110022277 + ... + 110022323.

Almost surely, 25171048100 is an apocalyptic number.

5171048100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5171048100 is the 71910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5171048100

5171048100 is an abundant number, since it is smaller than the sum of its proper divisors (13022400943).

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

5171048100 is a wasteful number, since it uses less digits than its factorization.

5171048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The cubic root of 5171048100 is about 1729.2569341629.

Adding to 5171048100 its reverse (18401715), we get a palindrome (5189449815).

The spelling of 5171048100 in words is "five billion, one hundred seventy-one million, forty-eight thousand, one hundred".