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5017103400 = 233529978387
BaseRepresentation
bin1001010110000101…
…01110110000101000
3110221122120021000110
410223002232300220
540233334302100
62145501534320
7235220450421
oct45302566050
913848507013
105017103400
11214502a051
12b802743a0
1361c56974a
14358474648
151e56d4250
hex12b0aec28

5017103400 has 96 divisors (see below), whose sum is σ = 15570476640. Its totient is φ = 1336392960.

The previous prime is 5017103363. The next prime is 5017103401. The reversal of 5017103400 is 43017105.

It is not an unprimeable number, because it can be changed into a prime (5017103401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594007 + ... + 602393.

It is an arithmetic number, because the mean of its divisors is an integer number (162192465).

Almost surely, 25017103400 is an apocalyptic number.

5017103400 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 5017103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785238320).

5017103400 is an abundant number, since it is smaller than the sum of its proper divisors (10553373240).

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

5017103400 is a wasteful number, since it uses less digits than its factorization.

5017103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9403 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5017103400 is about 70831.5141727183. The cubic root of 5017103400 is about 1711.9234878972.

The spelling of 5017103400 in words is "five billion, seventeen million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 997 1994 2991 3988 4985 5982 7976 8387 9970 11964 14955 16774 19940 23928 24925 25161 29910 33548 39880 41935 49850 50322 59820 67096 74775 83870 99700 100644 119640 125805 149550 167740 199400 201288 209675 251610 299100 335480 419350 503220 598200 629025 838700 1006440 1258050 1677400 2516100 5032200 8361839 16723678 25085517 33447356 41809195 50171034 66894712 83618390 100342068 125427585 167236780 200684136 209045975 250855170 334473560 418091950 501710340 627137925 836183900 1003420680 1254275850 1672367800 2508551700 5017103400