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11600444133431 = 411073637727049
BaseRepresentation
bin1010100011001111000001…
…0110100001000000110111
31112001222202220020001022222
42220303300112201000313
53010030202144232211
640401100453112555
72305050551125106
oct250636026410067
945058686201288
1011600444133431
1137727a232152a
1213742b132875b
13661bc00a5bba
142c16707cc03d
15151b4a5071db
hexa8cf05a1037

11600444133431 has 16 divisors (see below), whose sum is σ = 11997755834400. Its totient is φ = 11208637278720.

The previous prime is 11600444133413. The next prime is 11600444133437. The reversal of 11600444133431 is 13433144400611.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11600444133431 is a prime.

It is a super-4 number, since 4×116004441334314 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11600444133391 and 11600444133400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11600444133437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15591995 + ... + 16319043.

It is an arithmetic number, because the mean of its divisors is an integer number (749859739650).

Almost surely, 211600444133431 is an apocalyptic number.

11600444133431 is a deficient number, since it is larger than the sum of its proper divisors (397311700969).

11600444133431 is a wasteful number, since it uses less digits than its factorization.

11600444133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730834.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 11600444133431 in words is "eleven trillion, six hundred billion, four hundred forty-four million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 41 107 3637 4387 149117 389159 727049 15955519 29809009 77794243 2644277213 3189563963 108415365733 282937661791 11600444133431