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162799338256 = 2419253092
BaseRepresentation
bin1001011110011110011…
…0001100001100010000
3120120012202200021011121
42113213212030030100
510131403112311011
6202442230452024
714522214354142
oct2274746141420
9516182607147
10162799338256
1163051a89455
1227675204014
13124761c48a9
147c45604c92
15437c5e5e71
hex25e798c310

162799338256 has 45 divisors (see below), whose sum is σ = 332961432501. Its totient is φ = 77100950592.

The previous prime is 162799338241. The next prime is 162799338259. The reversal of 162799338256 is 652833997261.

The square root of 162799338256 is 403484.

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

162799338256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 551498256 + 162247840000 = 23484^2 + 402800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 162799338194 and 162799338203.

It is not an unprimeable number, because it can be changed into a prime (162799338259) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 30662130 + ... + 30667438.

Almost surely, 2162799338256 is an apocalyptic number.

162799338256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

162799338256 is the 403484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162799338256

162799338256 is an abundant number, since it is smaller than the sum of its proper divisors (170162094245).

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

162799338256 is an frugal number, since it uses more digits than its factorization.

162799338256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10664 (or 5330 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 61.

The spelling of 162799338256 in words is "one hundred sixty-two billion, seven hundred ninety-nine million, three hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5309 5776 10618 21236 42472 84944 100871 201742 403484 806968 1613936 1916549 3833098 7666196 15332392 28185481 30664784 56370962 112741924 225483848 450967696 535524139 1071048278 2142096556 4284193112 8568386224 10174958641 20349917282 40699834564 81399669128 162799338256