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6968683470976 = 27415325054229
BaseRepresentation
bin110010101101000010111…
…1001110010000010000000
3220200012101112101110200221
41211122011321302002000
51403133330432032401
622453211411352424
71316320321106263
oct145320571620200
926605345343627
106968683470976
1122474471675a7
129466b1bb2714
133b71b458bc96
141a1401006cda
15c141121c7a1
hex65685e72080

6968683470976 has 64 divisors (see below), whose sum is σ = 14489863378200. Its totient is φ = 3335218831360.

The previous prime is 6968683470967. The next prime is 6968683471007. The reversal of 6968683470976 is 6790743868696.

It can be written as a sum of positive squares in 4 ways, for example, as 6680984257600 + 287699213376 = 2584760^2 + 536376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×69686834709762 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6968683470896 and 6968683470905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12248971 + ... + 12805258.

Almost surely, 26968683470976 is an apocalyptic number.

It is an amenable number.

6968683470976 is an abundant number, since it is smaller than the sum of its proper divisors (7521179907224).

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

6968683470976 is a wasteful number, since it uses less digits than its factorization.

6968683470976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25054337 (or 25054325 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 79.

The spelling of 6968683470976 in words is "six trillion, nine hundred sixty-eight billion, six hundred eighty-three million, four hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 212 328 424 656 848 1312 1696 2173 2624 3392 4346 5248 6784 8692 17384 34768 69536 139072 278144 25054229 50108458 100216916 200433832 400867664 801735328 1027223389 1327874137 1603470656 2054446778 2655748274 3206941312 4108893556 5311496548 8217787112 10622993096 16435574224 21245986192 32871148448 42491972384 54442839617 65742296896 84983944768 108885679234 131484593792 169967889536 217771358468 435542716936 871085433872 1742170867744 3484341735488 6968683470976