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5358558300736 = 26172170212
BaseRepresentation
bin100110111111010001011…
…1101101100101001000000
3200222021101010211001022111
41031332202331230221000
51200243311411110421
615221404313145104
71062100033013404
oct115764275545100
920867333731274
105358558300736
111786608510923
127266363bb194
132cb404a61464
141474d9ad3104
15945c5ca2ee1
hex4dfa2f6ca40

5358558300736 has 63 divisors (see below), whose sum is σ = 11296340010907. Its totient is φ = 2521526343680.

The previous prime is 5358558300721. The next prime is 5358558300791. The reversal of 5358558300736 is 6370038558535.

The square root of 5358558300736 is 2314856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3350510593600 + 2008047707136 = 1830440^2 + 1417056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 314811906 + ... + 314828926.

Almost surely, 25358558300736 is an apocalyptic number.

5358558300736 is the 2314856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5358558300736

5358558300736 is an abundant number, since it is smaller than the sum of its proper divisors (5937781710171).

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

5358558300736 is an frugal number, since it uses more digits than its factorization.

5358558300736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34088 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 58.

It can be divided in two parts, 53585 and 58300736, that added together give a square (58354321 = 76392).

The spelling of 5358558300736 in words is "five trillion, three hundred fifty-eight billion, five hundred fifty-eight million, three hundred thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 17021 18496 34042 68084 136168 272336 289357 544672 578714 1089344 1157428 2314856 4629712 4919069 9259424 9838138 18518848 19676276 39352552 78705104 157410208 289714441 314820416 579428882 1158857764 2317715528 4635431056 4925145497 9270862112 9850290994 18541724224 19700581988 39401163976 78802327952 83727473449 157604655904 167454946898 315209311808 334909893796 669819787592 1339639575184 2679279150368 5358558300736