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11542494096 = 24327212792
BaseRepresentation
bin10101011111111110…
…00111101110010000
31002210102020110020100
422233333013232100
5142114334302341
65145203412400
7556014403200
oct125777075620
932712213210
1011542494096
114993489721
1222a1684100
13111c43a583
147b6d68400
154784ed3b6
hex2affc7b90

11542494096 has 135 divisors (see below), whose sum is σ = 37606306491. Its totient is φ = 3295276992.

The previous prime is 11542494037. The next prime is 11542494109. The reversal of 11542494096 is 69049424511.

The square root of 11542494096 is 107436.

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

11542494096 is a `hidden beast` number, since 1 + 154 + 2 + 494 + 0 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9023985 + ... + 9025263.

Almost surely, 211542494096 is an apocalyptic number.

11542494096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11542494096 is the 107436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11542494096

11542494096 is an abundant number, since it is smaller than the sum of its proper divisors (26063812395).

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

11542494096 is an equidigital number, since it uses as much as digits as its factorization.

11542494096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11542494096 in words is "eleven billion, five hundred forty-two million, four hundred ninety-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1279 1764 2352 2558 3528 3837 5116 7056 7674 8953 10232 11511 15348 17906 20464 23022 26859 30696 35812 46044 53718 61392 62671 71624 80577 92088 107436 125342 143248 161154 184176 188013 214872 250684 322308 376026 429744 501368 564039 644616 752052 1002736 1128078 1289232 1504104 1635841 2256156 3008208 3271682 4512312 4907523 6543364 9024624 9815046 11450887 13086728 14722569 19630092 22901774 26173456 29445138 34352661 39260184 45803548 58890276 68705322 78520368 80156209 91607096 103057983 117780552 137410644 160312418 183214192 206115966 235561104 240468627 274821288 320624836 412231932 480937254 549642576 641249672 721405881 824463864 961874508 1282499344 1442811762 1648927728 1923749016 2885623524 3847498032 5771247048 11542494096