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14993785696761 = 32192679332
BaseRepresentation
bin1101101000110000001101…
…0001010011000111111001
31222002101120201001001210100
43122030003101103013321
53431124233114244021
651520014451310013
73105156662402334
oct332140321230771
958071521031710
1014993785696761
114860913158583
121821a905ab309
13849ba592c281
1439b9bb43d61b
151b0051ce9626
hexda3034531f9

14993785696761 has 27 divisors (see below), whose sum is σ = 22857898975119. Its totient is φ = 9469619988912.

The previous prime is 14993785696711. The next prime is 14993785696801. The reversal of 14993785696761 is 16769658739941.

It is a happy number.

The square root of 14993785696761 is 3872181.

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

14993785696761 is a `hidden beast` number, since 1 + 4 + 99 + 378 + 5 + 6 + 96 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13809510693225 + 1184275003536 = 3716115^2 + 1088244^2 .

It is a de Polignac number, because none of the positive numbers 2k-14993785696761 is a prime.

It is a super-2 number, since 2×149937856967612 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14993785696711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 220680351 + ... + 220748283.

Almost surely, 214993785696761 is an apocalyptic number.

14993785696761 is the 3872181-st square number.

14993785696761 is the 1936091-st centered octagonal number.

It is an amenable number.

14993785696761 is a deficient number, since it is larger than the sum of its proper divisors (7864113278358).

14993785696761 is an frugal number, since it uses more digits than its factorization.

14993785696761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135910 (or 67955 counting only the distinct ones).

The product of its digits is 3703553280, while the sum is 81.

The spelling of 14993785696761 in words is "fourteen trillion, nine hundred ninety-three billion, seven hundred eighty-five million, six hundred ninety-six thousand, seven hundred sixty-one".

Divisors: 1 3 9 19 57 171 361 1083 3249 67933 203799 611397 1290727 3872181 11616543 24523813 73571439 220714317 4614892489 13844677467 41534032401 87682957291 263048871873 789146615619 1665976188529 4997928565587 14993785696761