Search a number
-
+
51790905756 = 223217569148727
BaseRepresentation
bin110000001110111110…
…101000000110011100
311221200101201121110200
4300032332220012130
51322031432441011
635443054503500
73512266302222
oct601676500634
9157611647420
1051790905756
111aa67686057
12a054804b90
134b64ac7585
14271451ab12
151531c03856
hexc0efa819c

51790905756 has 72 divisors (see below), whose sum is σ = 138861384480. Its totient is φ = 16219462656.

The previous prime is 51790905709. The next prime is 51790905769. The reversal of 51790905756 is 65750909715.

It is a congruent number.

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, 273865 + ... + 422591.

It is an arithmetic number, because the mean of its divisors is an integer number (1928630340).

Almost surely, 251790905756 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 51790905756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69430692240).

51790905756 is an abundant number, since it is smaller than the sum of its proper divisors (87070478724).

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

51790905756 is a wasteful number, since it uses less digits than its factorization.

51790905756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149323 (or 149318 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 54.

The spelling of 51790905756 in words is "fifty-one billion, seven hundred ninety million, nine hundred five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 569 612 1138 1707 2276 3414 5121 6828 9673 10242 19346 20484 29019 38692 58038 87057 116076 148727 174114 297454 348228 446181 594908 892362 1338543 1784724 2528359 2677086 5056718 5354172 7585077 10113436 15170154 22755231 30340308 45510462 84625663 91020924 169251326 253876989 338502652 507753978 761630967 1015507956 1438636271 1523261934 2877272542 3046523868 4315908813 5754545084 8631817626 12947726439 17263635252 25895452878 51790905756