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200861726976 = 283293372
BaseRepresentation
bin1011101100010001001…
…0101011100100000000
3201012110101202221200100
42323010102223210000
511242331100230401
6232135151522400
720340353336361
oct2730422534400
9635411687610
10200861726976
1178204232459
1232b18229400
1315c30a050b1
149a16717b68
155358e40b86
hex2ec44ab900

200861726976 has 81 divisors (see below), whose sum is σ = 579195909201. Its totient is φ = 66946738176.

The previous prime is 200861726971. The next prime is 200861727007. The reversal of 200861726976 is 679627168002.

The square root of 200861726976 is 448176.

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

It can be written as a sum of positive squares in only one way, i.e., 190584633600 + 10277093376 = 436560^2 + 101376^2 .

It is a super-2 number, since 2×2008617269762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200861726971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21507780 + ... + 21517116.

Almost surely, 2200861726976 is an apocalyptic number.

200861726976 is the 448176-th square number.

It is an amenable number.

200861726976 is an abundant number, since it is smaller than the sum of its proper divisors (378334182225).

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

200861726976 is an frugal number, since it uses more digits than its factorization.

200861726976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18696 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 200861726976 in words is "two hundred billion, eight hundred sixty-one million, seven hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9337 18674 28011 37348 56022 74696 84033 112044 149392 168066 224088 298784 336132 448176 597568 672264 896352 1195136 1344528 1792704 2390272 2689056 3585408 5378112 7170816 10756224 21512448 87179569 174359138 261538707 348718276 523077414 697436552 784616121 1046154828 1394873104 1569232242 2092309656 2789746208 3138464484 4184619312 5579492416 6276928968 8369238624 11158984832 12553857936 16738477248 22317969664 25107715872 33476954496 50215431744 66953908992 100430863488 200861726976