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11678728535037 = 328937339088969
BaseRepresentation
bin1010100111110010101001…
…1101110011101111111101
31112100110211200010200202200
42221330222131303233331
53012321014001110122
640501044523342113
72313521531430114
oct251745235635775
945313750120680
1011678728535037
1137a2a148810a3
1213874ba681939
136693b795c625
142c5379780c7b
15153bcd0905ac
hexa9f2a773bfd

11678728535037 has 24 divisors (see below), whose sum is σ = 17104551492600. Its totient is φ = 7677698738688.

The previous prime is 11678728535011. The next prime is 11678728535063. The reversal of 11678728535037 is 73053582787611.

11678728535037 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 8 + 72 + 8 + 53 + 503 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (11678728535011) and next prime (11678728535063).

It can be written as a sum of positive squares in 4 ways, for example, as 2653474844601 + 9025253690436 = 1628949^2 + 3004206^2 .

It is not a de Polignac number, because 11678728535037 - 236 = 11610009058301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11678728535077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19245712 + ... + 19843257.

It is an arithmetic number, because the mean of its divisors is an integer number (712689645525).

Almost surely, 211678728535037 is an apocalyptic number.

It is an amenable number.

11678728535037 is a deficient number, since it is larger than the sum of its proper divisors (5425822957563).

11678728535037 is a wasteful number, since it uses less digits than its factorization.

11678728535037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39089437 (or 39089434 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 11678728535037 in words is "eleven trillion, six hundred seventy-eight billion, seven hundred twenty-eight million, five hundred thirty-five thousand, thirty-seven".

Divisors: 1 3 9 89 267 373 801 1119 3357 33197 99591 298773 39088969 117266907 351800721 3478918241 10436754723 14580185437 31310264169 43740556311 131221668933 1297636503893 3892909511679 11678728535037