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61028793069993 = 347266123262277
BaseRepresentation
bin11011110000001010111111…
…00010000011000110101001
322000002021222112001110010000
431320011133202003012221
530444343432011214433
6333444123540213213
715566120245643100
oct1570053742030651
9260067875043100
1061028793069993
111849a190741711
126a1795739a209
132808cb515c548
14110db48bb3037
1570c773ed9113
hex37815f8831a9

61028793069993 has 60 divisors (see below), whose sum is σ = 106211234564292. Its totient is φ = 34820835698880.

The previous prime is 61028793069971. The next prime is 61028793069997. The reversal of 61028793069993 is 39996039782016.

61028793069993 is a `hidden beast` number, since 61 + 0 + 28 + 79 + 306 + 99 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54031143945744 + 6997649124249 = 7350588^2 + 2645307^2 .

It is not a de Polignac number, because 61028793069993 - 213 = 61028793061801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61028793069997) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9007630 + ... + 14254647.

Almost surely, 261028793069993 is an apocalyptic number.

61028793069993 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

61028793069993 is a deficient number, since it is larger than the sum of its proper divisors (45182441494299).

61028793069993 is a wasteful number, since it uses less digits than its factorization.

61028793069993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23262964 (or 23262948 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 61028793069993 in words is "sixty-one trillion, twenty-eight billion, seven hundred ninety-three million, sixty-nine thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 661 1323 1983 3969 4627 5949 13881 17847 32389 41643 53541 97167 124929 291501 374787 874503 2623509 23262277 69786831 162835939 209360493 488507817 628081479 1139851573 1465523451 1884244437 3419554719 4396570353 10258664157 13189711059 15376365097 30775992471 46129095291 92327977413 107634555679 138387285873 322903667037 415161857619 753441889753 968711001111 1245485572857 2260325669259 2906133003333 6780977007777 8718399009999 20342931023331 61028793069993