Search a number
-
+
49302405125168 = 24133142291808029
BaseRepresentation
bin10110011010111000111000…
…10110000001010000110000
320110120021010101022212212212
423031130130112001100300
522430232311203001133
6252505113502111252
713245660363005246
oct1315343426012060
9213507111285785
1049302405125168
111478903a422648
12564317787b528
132168273647730
14c2636b8d8796
155a7706ce2148
hex2cd71c581430

49302405125168 has 80 divisors (see below), whose sum is σ = 106214964307200. Its totient is φ = 22015706065920.

The previous prime is 49302405125159. The next prime is 49302405125203. The reversal of 49302405125168 is 86152150420394.

It is a super-2 number, since 2×493024051251682 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26364578 + ... + 28172606.

It is an arithmetic number, because the mean of its divisors is an integer number (1327687053840).

Almost surely, 249302405125168 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 49302405125168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53107482153600).

49302405125168 is an abundant number, since it is smaller than the sum of its proper divisors (56912559182032).

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

49302405125168 is a wasteful number, since it uses less digits than its factorization.

49302405125168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812310 (or 1812304 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 49302405125168 in words is "forty-nine trillion, three hundred two billion, four hundred five million, one hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 4229 6448 8458 16916 33832 54977 67664 109954 131099 219908 262198 439816 524396 879632 1048792 1704287 1808029 2097584 3408574 3616058 6817148 7232116 13634296 14464232 23504377 27268592 28928464 47008754 56048899 94017508 112097798 188035016 224195596 376070032 448391192 728635687 896782384 1457271374 2914542748 5829085496 7646154641 11658170992 15292309282 30584618564 61169237128 99400010333 122338474256 198800020666 237030793871 397600041332 474061587742 795200082664 948123175484 1590400165328 1896246350968 3081400320323 3792492701936 6162800640646 12325601281292 24651202562584 49302405125168