Search a number
-
+
11641334555004 = 22371112598846921
BaseRepresentation
bin1010100101100111010110…
…0111000110000101111100
31112012220022121202200121020
42221121311213012011330
53011212423121230004
640431542200504140
72311026060022140
oct251316547060574
945186277680536
1011641334555004
11378907595a470
12138020347b050
13665a0877a11b
142c362d341220
15152c402778d9
hexa96759c617c

11641334555004 has 48 divisors (see below), whose sum is σ = 33865700526336. Its totient is φ = 3023723260800.

The previous prime is 11641334554963. The next prime is 11641334555009. The reversal of 11641334555004 is 40055543314611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11641334555009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6299422537 + ... + 6299424384.

It is an arithmetic number, because the mean of its divisors is an integer number (705535427632).

Almost surely, 211641334555004 is an apocalyptic number.

11641334555004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11641334555004 is an abundant number, since it is smaller than the sum of its proper divisors (22224365971332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11641334555004 is a wasteful number, since it uses less digits than its factorization.

11641334555004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12598846946 (or 12598846944 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 11641334555004 its reverse (40055543314611), we get a palindrome (51696877869615).

The spelling of 11641334555004 in words is "eleven trillion, six hundred forty-one billion, three hundred thirty-four million, five hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 12598846921 25197693842 37796540763 50395387684 75593081526 88191928447 138587316131 151186163052 176383856894 264575785341 277174632262 352767713788 415761948393 529151570682 554349264524 831523896786 970111212917 1058303141364 1663047793572 1940222425834 2910333638751 3880444851668 5820667277502 11641334555004