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5008157820 = 22325251110849
BaseRepresentation
bin1001010101000001…
…00110110001111100
3110221000201202222200
410222200212301330
540224042022240
62144542111500
7235051432131
oct45240466174
913830652880
105008157820
11213aa7a106
12b7927b590
1361a756ac3
143571c6588
151e4a18930
hex12a826c7c

5008157820 has 72 divisors (see below), whose sum is σ = 15252073200. Its totient is φ = 1330176000.

The previous prime is 5008157809. The next prime is 5008157851. The reversal of 5008157820 is 287518005.

5008157820 is a `hidden beast` number, since 5 + 0 + 0 + 81 + 578 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10245 + ... + 100604.

It is an arithmetic number, because the mean of its divisors is an integer number (211834350).

Almost surely, 25008157820 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 5008157820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7626036600).

5008157820 is an abundant number, since it is smaller than the sum of its proper divisors (10243915380).

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

5008157820 is a wasteful number, since it uses less digits than its factorization.

5008157820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111115 (or 111110 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 5008157820 is about 70768.3391072590. The cubic root of 5008157820 is about 1710.9054197600.

The spelling of 5008157820 in words is "five billion, eight million, one hundred fifty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 7530 9036 11295 15060 22590 45180 110849 221698 332547 443396 554245 665094 997641 1108490 1330188 1662735 1995282 2216980 3325470 3990564 4988205 6650940 9976410 19952820 27823099 55646198 83469297 111292396 139115495 166938594 250407891 278230990 333877188 417346485 500815782 556461980 834692970 1001631564 1252039455 1669385940 2504078910 5008157820