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5116648768 = 267116117021
BaseRepresentation
bin1001100001111100…
…11101110101000000
3111012120212200120221
410300332131311000
540434330230033
62203415312424
7240536540230
oct46076356500
914176780527
105116648768
11219623aa50
12ba967b714
1363708132a
14367787cc0
151ee2e912d
hex130f9dd40

5116648768 has 112 divisors (see below), whose sum is σ = 12866997888. Its totient is φ = 1960704000.

The previous prime is 5116648721. The next prime is 5116648769. The reversal of 5116648768 is 8678466115.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116648769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292098 + ... + 309118.

Almost surely, 25116648768 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 5116648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433498944).

5116648768 is an abundant number, since it is smaller than the sum of its proper divisors (7750349120).

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

5116648768 is a wasteful number, since it uses less digits than its factorization.

5116648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17112 (or 17102 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The square root of 5116648768 is about 71530.7540013385. The cubic root of 5116648768 is about 1723.1716277388.

The spelling of 5116648768 in words is "five billion, one hundred sixteen million, six hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 154 176 224 244 308 352 427 448 488 616 671 704 854 976 1232 1342 1708 1952 2464 2684 3416 3904 4697 4928 5368 6832 9394 10736 13664 17021 18788 21472 27328 34042 37576 42944 68084 75152 119147 136168 150304 187231 238294 272336 300608 374462 476588 544672 748924 953176 1038281 1089344 1310617 1497848 1906352 2076562 2621234 2995696 3812704 4153124 5242468 5991392 7267967 7625408 8306248 10484936 11421091 11982784 14535934 16612496 20969872 22842182 29071868 33224992 41939744 45684364 58143736 66449984 79947637 83879488 91368728 116287472 159895274 182737456 232574944 319790548 365474912 465149888 639581096 730949824 1279162192 2558324384 5116648768