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5003420128 = 25779337839
BaseRepresentation
bin1001010100011101…
…00010000111100000
3110220200211002002121
410222032202013200
540221333421003
62144252354024
7234663240460
oct45216420740
913820732077
105003420128
112138333663
12b77775914
13619788535
14356711ba0
151e43cecbd
hex12a3a21e0

5003420128 has 96 divisors (see below), whose sum is σ = 11447654400. Its totient is φ = 2108381184.

The previous prime is 5003420099. The next prime is 5003420137. The reversal of 5003420128 is 8210243005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5963133 + ... + 5963971.

It is an arithmetic number, because the mean of its divisors is an integer number (119246400).

Almost surely, 25003420128 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 5003420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723827200).

5003420128 is an abundant number, since it is smaller than the sum of its proper divisors (6444234272).

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

5003420128 is a wasteful number, since it uses less digits than its factorization.

5003420128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5003420128 is about 70734.8579414704. The cubic root of 5003420128 is about 1710.3657469201.

The spelling of 5003420128 in words is "five billion, three million, four hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 337 553 632 674 839 1106 1264 1348 1678 2212 2359 2528 2696 3356 4424 4718 5392 5873 6712 8848 9436 10784 11746 13424 17696 18872 23492 26623 26848 37744 46984 53246 66281 75488 93968 106492 132562 186361 187936 212984 265124 282743 372722 425968 463967 530248 565486 745444 851936 927934 1060496 1130972 1490888 1855868 1979201 2120992 2261944 2981776 3711736 3958402 4523888 5963552 7423472 7916804 9047776 14846944 15833608 22336697 31667216 44673394 63334432 89346788 156356879 178693576 312713758 357387152 625427516 714774304 1250855032 2501710064 5003420128