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5083746336 = 2532107199829
BaseRepresentation
bin1001011110000001…
…11101000000100000
3111010021222001221100
410233000331000200
540402414340321
62200242154400
7236660062614
oct45700750040
914107861840
105083746336
112179707959
12b9a652a00
13630301236
14363261344
151eb49a326
hex12f03d020

5083746336 has 144 divisors (see below), whose sum is σ = 14683032000. Its totient is φ = 1668294144.

The previous prime is 5083746329. The next prime is 5083746361. The reversal of 5083746336 is 6336473805.

5083746336 is a `hidden beast` number, since 5 + 0 + 8 + 3 + 7 + 4 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5083746291 and 5083746300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6131970 + ... + 6132798.

It is an arithmetic number, because the mean of its divisors is an integer number (101965500).

Almost surely, 25083746336 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 5083746336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341516000).

5083746336 is an abundant number, since it is smaller than the sum of its proper divisors (9599285664).

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

5083746336 is a wasteful number, since it uses less digits than its factorization.

5083746336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 5083746336 is about 71300.3950620191. The cubic root of 5083746336 is about 1719.4700837348.

The spelling of 5083746336 in words is "five billion, eighty-three million, seven hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 199 214 288 321 398 428 597 642 796 829 856 963 1194 1284 1592 1658 1712 1791 1926 2388 2487 2568 3184 3316 3424 3582 3852 4776 4974 5136 6368 6632 7164 7461 7704 9552 9948 10272 13264 14328 14922 15408 19104 19896 21293 26528 28656 29844 30816 39792 42586 57312 59688 63879 79584 85172 88703 119376 127758 164971 170344 177406 191637 238752 255516 266109 329942 340688 354812 383274 494913 511032 532218 659884 681376 709624 766548 798327 989826 1022064 1064436 1319768 1419248 1484739 1533096 1596654 1979652 2044128 2128872 2639536 2838496 2969478 3066192 3193308 3959304 4257744 5279072 5938956 6132384 6386616 7918608 8515488 11877912 12773232 15837216 17651897 23755824 25546464 35303794 47511648 52955691 70607588 105911382 141215176 158867073 211822764 282430352 317734146 423645528 564860704 635468292 847291056 1270936584 1694582112 2541873168 5083746336