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11738355383711 = 1131791117390097
BaseRepresentation
bin1010101011010000110010…
…0000001011110110011111
31112120011202011120110010102
42222310030200023312133
53014310122434234321
640544305341531315
72321032250325065
oct252641440136637
945504664513112
1011738355383711
113816232661030
121396b7b573b3b
13671bcacb89c8
142c81d485c035
1515551cb84c0b
hexaad0c80bd9f

11738355383711 has 32 divisors (see below), whose sum is σ = 13397900206080. Its totient is φ = 10187122982400.

The previous prime is 11738355383707. The next prime is 11738355383749.

11738355383711 is nontrivially palindromic in base 10.

11738355383711 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11738355383711 - 22 = 11738355383707 is a prime.

It is a super-3 number, since 3×117383553837113 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11738355383011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29895815 + ... + 30285911.

It is an arithmetic number, because the mean of its divisors is an integer number (418684381440).

Almost surely, 211738355383711 is an apocalyptic number.

11738355383711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11738355383711 is a deficient number, since it is larger than the sum of its proper divisors (1659544822369).

11738355383711 is a wasteful number, since it uses less digits than its factorization.

11738355383711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391335.

The product of its digits is 6350400, while the sum is 56.

The spelling of 11738355383711 in words is "eleven trillion, seven hundred thirty-eight billion, three hundred fifty-five million, three hundred eighty-three thousand, seven hundred eleven".

Divisors: 1 11 31 79 341 869 1117 2449 12287 26939 34627 88243 380897 390097 970673 2735533 4291067 12093007 30090863 30817663 133023077 338994293 435738349 955347553 4793121839 10508823083 13507888819 34423329571 148586777009 378656625281 1067123216701 11738355383711