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5134352000 = 27532231439
BaseRepresentation
bin1001100100000011…
…11111111010000000
3111020211012002212012
410302001333322000
541003343231000
62205250552052
7241143162161
oct46201777200
914224162765
105134352000
1121a5231718
12bb3598628
1363a93c20b
14369c75768
15200b44735
hex13207fe80

5134352000 has 128 divisors (see below), whose sum is σ = 12831436800. Its totient is φ = 2043110400.

The previous prime is 5134351991. The next prime is 5134352011. The reversal of 5134352000 is 2534315.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3567281 + ... + 3568719.

It is an arithmetic number, because the mean of its divisors is an integer number (100245600).

Almost surely, 25134352000 is an apocalyptic number.

5134352000 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 5134352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415718400).

5134352000 is an abundant number, since it is smaller than the sum of its proper divisors (7697084800).

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

5134352000 is a wasteful number, since it uses less digits than its factorization.

5134352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 5134352000 is about 71654.3927474094. The cubic root of 5134352000 is about 1725.1566895405.

Adding to 5134352000 its reverse (2534315), we get a palindrome (5136886315).

The spelling of 5134352000 in words is "five billion, one hundred thirty-four million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 223 250 320 400 446 500 640 800 892 1000 1115 1439 1600 1784 2000 2230 2878 3200 3568 4000 4460 5575 5756 7136 7195 8000 8920 11150 11512 14272 14390 16000 17840 22300 23024 27875 28544 28780 35680 35975 44600 46048 55750 57560 71360 71950 89200 92096 111500 115120 142720 143900 178400 179875 184192 223000 230240 287800 320897 356800 359750 446000 460480 575600 641794 713600 719500 892000 920960 1151200 1283588 1439000 1604485 1784000 2302400 2567176 2878000 3208970 3568000 4604800 5134352 5756000 6417940 8022425 10268704 11512000 12835880 16044850 20537408 23024000 25671760 32089700 40112125 41074816 51343520 64179400 80224250 102687040 128358800 160448500 205374080 256717600 320897000 513435200 641794000 1026870400 1283588000 2567176000 5134352000