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5171181820 = 22571012291597
BaseRepresentation
bin1001101000011100…
…11111100011111100
3111100101111020212121
410310032133203330
541042310304240
62213044212324
7242101214560
oct46416374374
914311436777
105171181820
112213aa7492
12100399a0a4
13645465acc
14370b016a0
15203ebc04a
hex13439f8fc

5171181820 has 96 divisors (see below), whose sum is σ = 12596330880. Its totient is φ = 1746662400.

The previous prime is 5171181773. The next prime is 5171181871. The reversal of 5171181820 is 281811715.

It is a super-2 number, since 2×51711818202 = 53482242830997024800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3237262 + ... + 3238858.

It is an arithmetic number, because the mean of its divisors is an integer number (131211780).

Almost surely, 25171181820 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 5171181820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298165440).

5171181820 is an abundant number, since it is smaller than the sum of its proper divisors (7425149060).

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

5171181820 is a wasteful number, since it uses less digits than its factorization.

5171181820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 34.

The square root of 5171181820 is about 71910.9297673170. The cubic root of 5171181820 is about 1729.2718398609.

The spelling of 5171181820 in words is "five billion, one hundred seventy-one million, one hundred eighty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 229 404 458 505 707 916 1010 1145 1414 1597 1603 2020 2290 2828 3194 3206 3535 4580 6388 6412 7070 7985 8015 11179 14140 15970 16030 22358 23129 31940 32060 44716 46258 55895 92516 111790 115645 161297 161903 223580 231290 322594 323806 365713 462580 645188 647612 731426 806485 809515 1129079 1462852 1612970 1619030 1828565 2258158 2559991 3225940 3238060 3657130 4516316 5119982 5645395 7314260 10239964 11290790 12799955 22581580 25599910 36937013 51199820 73874026 147748052 184685065 258559091 369370130 517118182 738740260 1034236364 1292795455 2585590910 5171181820