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50338186704 = 243213241111577
BaseRepresentation
bin101110111000011000…
…111100010111010000
311210221011011211120100
4232320120330113100
51311043033433304
635043002012400
73431266345551
oct567030742720
9153834154510
1050338186704
111a3916597a3
12990a1a7100
134992b4abc0
142617604328
1514993e8439
hexbb863c5d0

50338186704 has 120 divisors (see below), whose sum is σ = 152344584392. Its totient is φ = 15424266240.

The previous prime is 50338186697. The next prime is 50338186709. The reversal of 50338186704 is 40768183305.

50338186704 is a `hidden beast` number, since 503 + 3 + 81 + 8 + 67 + 0 + 4 = 666.

50338186704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2166716304 + 48171470400 = 46548^2 + 219480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50338186704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50338186709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395364 + ... + 506940.

Almost surely, 250338186704 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 50338186704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76172292196).

50338186704 is an abundant number, since it is smaller than the sum of its proper divisors (102006397688).

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

50338186704 is a wasteful number, since it uses less digits than its factorization.

50338186704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111845 (or 111836 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 50338186704 in words is "fifty billion, three hundred thirty-eight million, one hundred eighty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 241 312 468 482 624 723 936 964 1446 1872 1928 2169 2892 3133 3856 4338 5784 6266 8676 9399 11568 12532 17352 18798 25064 28197 34704 37596 50128 56394 75192 111577 112788 150384 223154 225576 334731 446308 451152 669462 892616 1004193 1338924 1450501 1785232 2008386 2677848 2901002 4016772 4351503 5355696 5802004 8033544 8703006 11604008 13054509 16067088 17406012 23208016 26109018 26890057 34812024 52218036 53780114 69624048 80670171 104436072 107560228 161340342 208872144 215120456 242010513 322680684 349570741 430240912 484021026 645361368 699141482 968042052 1048712223 1290722736 1398282964 1936084104 2097424446 2796565928 3146136669 3872168208 4194848892 5593131856 6292273338 8389697784 12584546676 16779395568 25169093352 50338186704