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86974247968 = 2567711015657
BaseRepresentation
bin101000100000000010…
…0011011010000100000
322022111101101120122021
41101000010123100200
52411110401413333
6103542211551224
76166205624026
oct1210004332040
9268441346567
1086974247968
1133981771883
1214a335bb514
138280cc246a
1442d1110716
1523e08ec82d
hex144011b420

86974247968 has 96 divisors (see below), whose sum is σ = 178010275968. Its totient is φ = 41809152000.

The previous prime is 86974247953. The next prime is 86974248001.

It is a happy number.

86974247968 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86974247897 and 86974247906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15371796 + ... + 15377452.

It is an arithmetic number, because the mean of its divisors is an integer number (1854273708).

Almost surely, 286974247968 is an apocalyptic number.

It is an amenable number.

86974247968 is an abundant number, since it is smaller than the sum of its proper divisors (91036028000).

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

86974247968 is a wasteful number, since it uses less digits than its factorization.

86974247968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5898 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 70.

The spelling of 86974247968 in words is "eighty-six billion, nine hundred seventy-four million, two hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 67 71 101 134 142 202 268 284 404 536 568 808 1072 1136 1616 2144 2272 3232 4757 5657 6767 7171 9514 11314 13534 14342 19028 22628 27068 28684 38056 45256 54136 57368 76112 90512 108272 114736 152224 181024 216544 229472 379019 401647 480457 571357 758038 803294 960914 1142714 1516076 1606588 1921828 2285428 3032152 3213176 3843656 4570856 6064304 6426352 7687312 9141712 12128608 12852704 15374624 18283424 26910349 38280919 40566347 53820698 76561838 81132694 107641396 153123676 162265388 215282792 306247352 324530776 430565584 612494704 649061552 861131168 1224989408 1298123104 2717945249 5435890498 10871780996 21743561992 43487123984 86974247968