Search a number
-
+
7686796128 = 2531143316811
BaseRepresentation
bin1110010100010101…
…10011001101100000
3201211201001200221220
413022022303031200
5111220304434003
63310430415040
7361325455224
oct71212631540
921751050856
107686796128
113294aa5780
1215a6361480
139566a139b
1452cc58784
152eec7e353
hex1ca2b3360

7686796128 has 96 divisors (see below), whose sum is σ = 22064337792. Its totient is φ = 2323814400.

The previous prime is 7686796093. The next prime is 7686796129. The reversal of 7686796128 is 8216976867.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686796129) 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, 448843 + ... + 465653.

It is an arithmetic number, because the mean of its divisors is an integer number (229836852).

Almost surely, 27686796128 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 7686796128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032168896).

7686796128 is an abundant number, since it is smaller than the sum of its proper divisors (14377541664).

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

7686796128 is a wasteful number, since it uses less digits than its factorization.

7686796128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268 (or 17260 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The square root of 7686796128 is about 87674.3755495299. The cubic root of 7686796128 is about 1973.5514563896.

The spelling of 7686796128 in words is "seven billion, six hundred eighty-six million, seven hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 433 528 866 1056 1299 1732 2598 3464 4763 5196 6928 9526 10392 13856 14289 16811 19052 20784 28578 33622 38104 41568 50433 57156 67244 76208 100866 114312 134488 152416 184921 201732 228624 268976 369842 403464 457248 537952 554763 739684 806928 1109526 1479368 1613856 2219052 2958736 4438104 5917472 7279163 8876208 14558326 17752416 21837489 29116652 43674978 58233304 80070793 87349956 116466608 160141586 174699912 232933216 240212379 320283172 349399824 480424758 640566344 698799648 960849516 1281132688 1921699032 2562265376 3843398064 7686796128