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2794691223289 = 7410923132
BaseRepresentation
bin101000101010110000100…
…100111101111011111001
3100220011120211120210101001
4220222300210331323321
5331242011423121124
65535510255525001
7405624024310000
oct50526044757371
910804524523331
102794691223289
1198824937a009
12391768529761
131736cc700544
1499399b37c37
154ca6a1c3b44
hex28ab093def9

2794691223289 has 45 divisors (see below), whose sum is σ = 3301010579853. Its totient is φ = 2365890037056.

The previous prime is 2794691223263. The next prime is 2794691223319. The reversal of 2794691223289 is 9823221964972.

The square root of 2794691223289 is 1671733.

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 649321698025 + 2145369525264 = 805805^2 + 1464708^2 .

It is not a de Polignac number, because 2794691223289 - 223 = 2794682834681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2794691223289.

It is not an unprimeable number, because it can be changed into a prime (2794691223089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8928725797 + ... + 8928726109.

Almost surely, 22794691223289 is an apocalyptic number.

2794691223289 is the 1671733-rd square number.

2794691223289 is the 835867-th centered octagonal number.

It is an amenable number.

2794691223289 is a deficient number, since it is larger than the sum of its proper divisors (506319356564).

2794691223289 is an frugal number, since it uses more digits than its factorization.

2794691223289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 429 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 64.

Multiplying 2794691223289 by its sum of digits (64), we get a square (178860238290496 = 133738642).

The spelling of 2794691223289 in words is "two trillion, seven hundred ninety-four billion, six hundred ninety-one million, two hundred twenty-three thousand, two hundred eighty-nine".

Divisors: 1 7 49 109 313 343 763 2191 2401 5341 11881 15337 34117 37387 83167 97969 107359 238819 261709 582169 685783 751513 1671733 3718753 4075183 4800481 10678621 11702131 26031271 28526281 33603367 74750347 81914917 182218897 235223569 523252429 1163969689 1275532279 3662767003 8147787823 8928725953 25639369021 57034514761 399241603327 2794691223289