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6875000016896 = 21211349943609
BaseRepresentation
bin110010000001011010111…
…1011110001000000000000
3220100020120120102220111102
41210002311323301000000
51400120000001020041
622342155330033532
71306462623640454
oct144026573610000
926306516386442
106875000016896
112210742307990
129305077188a8
133ab4045ba29b
1419aa74c34664
15bdc7b7e709b
hex640b5ef1000

6875000016896 has 104 divisors (see below), whose sum is σ = 15002799420000. Its totient is φ = 3124035256320.

The previous prime is 6875000016893. The next prime is 6875000016901. The reversal of 6875000016896 is 6986100005786.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6875000016893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157629140 + ... + 157672748.

Almost surely, 26875000016896 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 6875000016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501399710000).

6875000016896 is an abundant number, since it is smaller than the sum of its proper divisors (8127799403104).

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

6875000016896 is a wasteful number, since it uses less digits than its factorization.

6875000016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47143 (or 47121 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 6875000016896 in words is "six trillion, eight hundred seventy-five billion, sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 3499 4096 5632 6998 11264 13996 22528 27992 38489 43609 45056 55984 76978 87218 111968 153956 174436 223936 307912 348872 447872 479699 615824 697744 895744 959398 1231648 1395488 1791488 1918796 2463296 2790976 3582976 3837592 4926592 5581952 7165952 7675184 9853184 11163904 14331904 15350368 19706368 22327808 30700736 39412736 44655616 61401472 78825472 89311232 122802944 152587891 157650944 178622464 245605888 305175782 491211776 610351564 982423552 1220703128 1678466801 1964847104 2441406256 3356933602 4882812512 6713867204 9765625024 13427734408 19531250048 26855468816 39062500096 53710937632 78125000192 107421875264 156250000384 214843750528 312500000768 429687501056 625000001536 859375002112 1718750004224 3437500008448 6875000016896