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5021145000 = 233254111581
BaseRepresentation
bin1001010110100100…
…01001011110101000
3110221221011121001100
410223102021132220
540240403120000
62150124321400
7235300012464
oct45322113650
913857147040
105021145000
11214733a613
12b816a3260
13620353221
14358c074a4
151e5c31a00
hex12b4897a8

5021145000 has 120 divisors (see below), whose sum is σ = 16993380690. Its totient is φ = 1338960000.

The previous prime is 5021144993. The next prime is 5021145001. The reversal of 5021145000 is 5411205.

5021145000 is a `hidden beast` number, since 5 + 0 + 211 + 450 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1098127044 + 3923017956 = 33138^2 + 62634^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×50211450002 = 50423794222050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5021145001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10791 + ... + 100790.

Almost surely, 25021145000 is an apocalyptic number.

5021145000 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 5021145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496690345).

5021145000 is an abundant number, since it is smaller than the sum of its proper divisors (11972235690).

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

5021145000 is a wasteful number, since it uses less digits than its factorization.

5021145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111613 (or 111591 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5021145000 is about 70860.0381032920. The cubic root of 5021145000 is about 1712.3830527345.

Adding to 5021145000 its reverse (5411205), we get a palindrome (5026556205).

The spelling of 5021145000 in words is "five billion, twenty-one million, one hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 111581 223162 334743 446324 557905 669486 892648 1004229 1115810 1338972 1673715 2008458 2231620 2677944 2789525 3347430 4016916 4463240 5021145 5579050 6694860 8033832 8368575 10042290 11158100 13389720 13947625 16737150 20084580 22316200 25105725 27895250 33474300 40169160 41842875 50211450 55790500 66948600 69738125 83685750 100422900 111581000 125528625 139476250 167371500 200845800 209214375 251057250 278952500 334743000 418428750 502114500 557905000 627643125 836857500 1004229000 1255286250 1673715000 2510572500 5021145000