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5027135008 = 2572171031831
BaseRepresentation
bin1001010111010001…
…11111111000100000
3110222100102220210111
410223220333320200
540243421310013
62150500541104
7235401641200
oct45350777040
913870386714
105027135008
11214a760a35
12b836b1794
1362166c7cc
14359926400
151e651673d
hex12ba3fe20

5027135008 has 144 divisors (see below), whose sum is σ = 12315348864. Its totient is φ = 2006968320.

The previous prime is 5027134967. The next prime is 5027135011. The reversal of 5027135008 is 8005317205.

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 23 ways as a sum of consecutive naturals, for example, 2744653 + ... + 2746483.

It is an arithmetic number, because the mean of its divisors is an integer number (85523256).

Almost surely, 25027135008 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 5027135008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157674432).

5027135008 is an abundant number, since it is smaller than the sum of its proper divisors (7288213856).

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

5027135008 is a wasteful number, since it uses less digits than its factorization.

5027135008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5027135008 is about 70902.2919798789. The cubic root of 5027135008 is about 1713.0637150199.

The spelling of 5027135008 in words is "five billion, twenty-seven million, one hundred thirty-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 103 112 119 136 196 206 224 238 272 392 412 476 544 721 784 824 833 952 1442 1568 1648 1666 1751 1831 1904 2884 3296 3332 3502 3662 3808 5047 5768 6664 7004 7324 10094 11536 12257 12817 13328 14008 14648 20188 23072 24514 25634 26656 28016 29296 31127 40376 49028 51268 56032 58592 62254 80752 85799 89719 98056 102536 124508 161504 171598 179438 188593 196112 205072 217889 249016 343196 358876 377186 392224 410144 435778 498032 686392 717752 754372 871556 996064 1320151 1372784 1435504 1508744 1525223 1743112 2640302 2745568 2871008 3017488 3050446 3206081 3486224 5280604 6034976 6100892 6412162 6972448 9241057 10561208 12201784 12824324 18482114 21122416 22442567 24403568 25648648 36964228 42244832 44885134 48807136 51297296 73928456 89770268 102594592 147856912 157097969 179540536 295713824 314195938 359081072 628391876 718162144 1256783752 2513567504 5027135008