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5606623152768 = 273113314010047
BaseRepresentation
bin101000110010110010011…
…0010000000101010000000
3201211222200012121012110210
41101211210302000222000
51213324331011342033
615531351435554120
71116031230324351
oct121454462005200
921758605535423
105606623152768
111871834672830
127667268bb940
13318918c31581
1415550d4cbd28
159ac93c69d63
hex51964c80a80

5606623152768 has 128 divisors (see below), whose sum is σ = 16295551856640. Its totient is φ = 1693843430400.

The previous prime is 5606623152719. The next prime is 5606623152863. The reversal of 5606623152768 is 8672513266065.

It is a tau number, because it is divible by the number of its divisors (128).

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, 606880 + ... + 3403167.

It is an arithmetic number, because the mean of its divisors is an integer number (127308998880).

Almost surely, 25606623152768 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 5606623152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147775928320).

5606623152768 is an abundant number, since it is smaller than the sum of its proper divisors (10688928703872).

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

5606623152768 is a wasteful number, since it uses less digits than its factorization.

5606623152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010406 (or 4010394 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 5606623152768 in words is "five trillion, six hundred six billion, six hundred twenty-three million, one hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 331 352 384 528 662 704 993 1056 1324 1408 1986 2112 2648 3641 3972 4224 5296 7282 7944 10592 10923 14564 15888 21184 21846 29128 31776 42368 43692 58256 63552 87384 116512 127104 174768 233024 349536 466048 699072 1398144 4010047 8020094 12030141 16040188 24060282 32080376 44110517 48120564 64160752 88221034 96241128 128321504 132331551 176442068 192482256 256643008 264663102 352884136 384964512 513286016 529326204 705768272 769929024 1058652408 1327325557 1411536544 1539858048 2117304816 2654651114 2823073088 3981976671 4234609632 5309302228 5646146176 7963953342 8469219264 10618604456 14600581127 15927906684 16938438528 21237208912 29201162254 31855813368 42474417824 43801743381 58402324508 63711626736 84948835648 87603486762 116804649016 127423253472 169897671296 175206973524 233609298032 254846506944 350413947048 467218596064 509693013888 700827894096 934437192128 1401655788192 1868874384256 2803311576384 5606623152768