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5784292374688 = 251371790973673
BaseRepresentation
bin101010000101100001010…
…1100010011100010100000
3202110222021021120211021101
41110023002230103202200
51224232212321442223
620145133420004144
71134621104644162
oct124130254234240
922428237524241
105784292374688
111930117281933
1279504b990654
1332c5c1a15799
1415dd65926932
15a06e1a224ad
hex542c2b138a0

5784292374688 has 48 divisors (see below), whose sum is σ = 11471744649960. Its totient is φ = 2870836350976.

The previous prime is 5784292374671. The next prime is 5784292374689. The reversal of 5784292374688 is 8864732924875.

It can be written as a sum of positive squares in 4 ways, for example, as 5661867963024 + 122424411664 = 2379468^2 + 349892^2 .

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5784292374688.

It is not an unprimeable number, because it can be changed into a prime (5784292374689) 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, 78476220 + ... + 78549892.

Almost surely, 25784292374688 is an apocalyptic number.

It is an amenable number.

5784292374688 is a deficient number, since it is larger than the sum of its proper divisors (5687452275272).

5784292374688 is a wasteful number, since it uses less digits than its factorization.

5784292374688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91729 (or 91721 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 73.

Multiplying 5784292374688 by its sum of digits (73), we get a palindrome (422253343352224).

The spelling of 5784292374688 in words is "five trillion, seven hundred eighty-four billion, two hundred ninety-two million, three hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 137 274 548 1096 2192 4384 17909 35818 71636 73673 143272 147346 286544 294692 573088 589384 1178768 2357536 2453533 4907066 9814132 10093201 19628264 20186402 39256528 40372804 78513056 80745608 161491216 322982432 1319409757 2638819514 5277639028 10555278056 21110556112 42221112224 180759136709 361518273418 723036546836 1446073093672 2892146187344 5784292374688