Search a number
-
+
5135638816 = 257112189479
BaseRepresentation
bin1001100100001101…
…11010000100100000
3111020220121111001001
410302012322010200
541004210420231
62205334321344
7241160131630
oct46206720440
914226544031
105135638816
1121a5a30500
12bb3ab9254
1363ac9cb49
1436a0cc6c0
15200ceab61
hex1321ba120

5135638816 has 72 divisors (see below), whose sum is σ = 12701223360. Its totient is φ = 2000887680.

The previous prime is 5135638793. The next prime is 5135638819. The reversal of 5135638816 is 6188365315.

It is not an unprimeable number, because it can be changed into a prime (5135638819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67636 + ... + 121843.

It is an arithmetic number, because the mean of its divisors is an integer number (176405880).

Almost surely, 25135638816 is an apocalyptic number.

5135638816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5135638816 is an abundant number, since it is smaller than the sum of its proper divisors (7565584544).

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

5135638816 is a wasteful number, since it uses less digits than its factorization.

5135638816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189518 (or 189499 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 5135638816 is about 71663.3715087422. The cubic root of 5135638816 is about 1725.3008020980.

The spelling of 5135638816 in words is "five billion, one hundred thirty-five million, six hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 189479 378958 757916 1326353 1515832 2084269 2652706 3031664 4168538 5305412 6063328 8337076 10610824 14589883 16674152 21221648 22926959 29179766 33348304 42443296 45853918 58359532 66696608 91707836 116719064 160488713 183415672 233438128 320977426 366831344 466876256 641954852 733662688 1283909704 2567819408 5135638816