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5008021700 = 22521121121577
BaseRepresentation
bin1001010101000000…
…00101100011000100
3110221000110212021012
410222200011203010
540224023143300
62144535141352
7235050324233
oct45240054304
913830425235
105008021700
11213a996910
12b79214858
1361a709b66
1435718cb1a
151e49dd435
hex12a8058c4

5008021700 has 72 divisors (see below), whose sum is σ = 11912091744. Its totient is φ = 1812384000.

The previous prime is 5008021643. The next prime is 5008021709. The reversal of 5008021700 is 71208005.

It is not an unprimeable number, because it can be changed into a prime (5008021709) 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 23 ways as a sum of consecutive naturals, for example, 221312 + ... + 242888.

Almost surely, 25008021700 is an apocalyptic number.

5008021700 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 5008021700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956045872).

5008021700 is an abundant number, since it is smaller than the sum of its proper divisors (6904070044).

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

5008021700 is a wasteful number, since it uses less digits than its factorization.

5008021700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21813 (or 21806 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 5008021700 is about 70767.3773712153. The cubic root of 5008021700 is about 1710.8899190135.

Adding to 5008021700 its reverse (71208005), we get a palindrome (5079229705).

The spelling of 5008021700 in words is "five billion, eight million, twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 550 844 1055 1100 2110 2321 4220 4642 5275 9284 10550 11605 21100 21577 23210 43154 46420 58025 86308 107885 116050 215770 232100 237347 431540 474694 539425 949388 1078850 1186735 2157700 2373470 4552747 4746940 5933675 9105494 11867350 18210988 22763735 23734700 45527470 50080217 91054940 100160434 113818675 200320868 227637350 250401085 455274700 500802170 1001604340 1252005425 2504010850 5008021700