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5021159400 = 2332523478039
BaseRepresentation
bin1001010110100100…
…01100111111101000
3110221221012022210200
410223102030333220
540240404100100
62150124512200
7235300102455
oct45322147750
913857168720
105021159400
11214734a414
12b816ab660
1362035994a
14358c0c82c
151e5c35e00
hex12b48cfe8

5021159400 has 144 divisors (see below), whose sum is σ = 16913426400. Its totient is φ = 1334951040.

The previous prime is 5021159387. The next prime is 5021159419. The reversal of 5021159400 is 49511205.

5021159400 is a `hidden beast` number, since 50 + 21 + 1 + 594 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620581 + ... + 628619.

It is an arithmetic number, because the mean of its divisors is an integer number (117454350).

Almost surely, 25021159400 is an apocalyptic number.

5021159400 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 5021159400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8456713200).

5021159400 is an abundant number, since it is smaller than the sum of its proper divisors (11892267000).

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

5021159400 is a wasteful number, since it uses less digits than its factorization.

5021159400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5021159400 is about 70860.1397119707. The cubic root of 5021159400 is about 1712.3846896979.

The spelling of 5021159400 in words is "five billion, twenty-one million, one hundred fifty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 347 360 450 600 694 900 1041 1388 1735 1800 2082 2776 3123 3470 4164 5205 6246 6940 8039 8328 8675 10410 12492 13880 15615 16078 17350 20820 24117 24984 26025 31230 32156 34700 40195 41640 48234 52050 62460 64312 69400 72351 78075 80390 96468 104100 120585 124920 144702 156150 160780 192936 200975 208200 241170 289404 312300 321560 361755 401950 482340 578808 602925 624600 723510 803900 964680 1205850 1447020 1607800 1808775 2411700 2789533 2894040 3617550 4823400 5579066 7235100 8368599 11158132 13947665 14470200 16737198 22316264 25105797 27895330 33474396 41842995 50211594 55790660 66948792 69738325 83685990 100423188 111581320 125528985 139476650 167371980 200846376 209214975 251057970 278953300 334743960 418429950 502115940 557906600 627644925 836859900 1004231880 1255289850 1673719800 2510579700 5021159400