Search a number
-
+
517638131720 = 235131241140973
BaseRepresentation
bin1111000100001011010…
…00110001000000001000
31211111010002110122022022
413202011220301000020
531440110330203340
61033444421344012
752253361344033
oct7420550610010
91744102418268
10517638131720
1118a590259966
12843a3b68008
1339a753cb0c8
141b0a797401a
15d6e935b3b5
hex7885a31008

517638131720 has 64 divisors (see below), whose sum is σ = 1174091941440. Its totient is φ = 205384441600.

The previous prime is 517638131683. The next prime is 517638131723. The reversal of 517638131720 is 27131836715.

It is not an unprimeable number, because it can be changed into a prime (517638131723) by changing a digit.

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, 12613154 + ... + 12654126.

It is an arithmetic number, because the mean of its divisors is an integer number (18345186585).

Almost surely, 2517638131720 is an apocalyptic number.

It is an amenable number.

517638131720 is an abundant number, since it is smaller than the sum of its proper divisors (656453809720).

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

517638131720 is a wasteful number, since it uses less digits than its factorization.

517638131720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43526 (or 43522 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 517638131720 in words is "five hundred seventeen billion, six hundred thirty-eight million, one hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2411 2620 4822 5240 9644 12055 19288 24110 40973 48220 81946 96440 163892 204865 315841 327784 409730 631682 819460 1263364 1579205 1638920 2526728 3158410 5367463 6316820 10734926 12633640 21469852 26837315 42939704 53674630 98785903 107349260 197571806 214698520 395143612 493929515 790287224 987859030 1975718060 3951436120 12940953293 25881906586 51763813172 64704766465 103527626344 129409532930 258819065860 517638131720