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11772639352385 = 5137149115344529
BaseRepresentation
bin1010101101010000011111…
…1111001001011001000001
31112200110020110220111201222
42223110013333021121001
53020340331133234020
641012135330204425
72323354656260402
oct253240777113101
945613213814658
1011772639352385
11382982600313a
1213a1749123715
13675202a793c2
142c9b27c199a9
15156377927b25
hexab507fc9641

11772639352385 has 16 divisors (see below), whose sum is σ = 14325790626000. Its totient is φ = 9286618638336.

The previous prime is 11772639352361. The next prime is 11772639352399. The reversal of 11772639352385 is 58325393627711.

11772639352385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 34311282+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 11772639352384 = 1^2 + 3431128^2 .

It is a cyclic number.

It is not a de Polignac number, because 11772639352385 - 214 = 11772639336001 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57570200 + ... + 57774329.

It is an arithmetic number, because the mean of its divisors is an integer number (895361914125).

Almost surely, 211772639352385 is an apocalyptic number.

It is an amenable number.

11772639352385 is a deficient number, since it is larger than the sum of its proper divisors (2553151273615).

11772639352385 is a wasteful number, since it uses less digits than its factorization.

11772639352385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115344820.

The product of its digits is 57153600, while the sum is 62.

The spelling of 11772639352385 in words is "eleven trillion, seven hundred seventy-two billion, six hundred thirty-nine million, three hundred fifty-two thousand, three hundred eighty-five".

Divisors: 1 5 137 149 685 745 20413 102065 115344529 576722645 15802200473 17186334821 79011002365 85931674105 2354527870477 11772639352385