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1218713311508 = 2271117732131793
BaseRepresentation
bin10001101111000000111…
…110010101100100010100
311022111201020002211102212
4101233000332111210110
5124431411101432013
62331511423452552
7154022565140360
oct21570076254424
94274636084385
101218713311508
1142a94298aaa0
12178240757158
138ac025385b4
1442db39962a0
1521a7c9e56a8
hex11bc0f95914

1218713311508 has 96 divisors (see below), whose sum is σ = 2815896400128. Its totient is φ = 446817484800.

The previous prime is 1218713311507. The next prime is 1218713311537. The reversal of 1218713311508 is 8051133178121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218713311507) 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 31 ways as a sum of consecutive naturals, for example, 38316860 + ... + 38348652.

It is an arithmetic number, because the mean of its divisors is an integer number (29332254168).

Almost surely, 21218713311508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1218713311508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407948200064).

1218713311508 is an abundant number, since it is smaller than the sum of its proper divisors (1597183088620).

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

1218713311508 is a wasteful number, since it uses less digits than its factorization.

1218713311508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39153 (or 39151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 41.

Adding to 1218713311508 its reverse (8051133178121), we get a palindrome (9269846489629).

The spelling of 1218713311508 in words is "one trillion, two hundred eighteen billion, seven hundred thirteen million, three hundred eleven thousand, five hundred eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 7321 14642 29284 31793 51247 63586 80531 102494 124457 127172 161062 204988 222551 248914 322124 349723 445102 497828 540481 563717 699446 871199 890204 1080962 1127434 1369027 1398892 1742398 2161924 2254868 2448061 2738054 3484796 3783367 4896122 5476108 5945291 7566734 9583189 9792244 11890582 15133468 19166378 23781164 38332756 41617037 83234074 166468148 232756553 465513106 931026212 1629295871 2560322083 3258591742 3956861401 5120644166 6517183484 7913722802 10241288332 15827445604 17922254581 27698029807 35844509162 43525475411 55396059614 71689018324 87050950822 110792119228 174101901644 304678327877 609356655754 1218713311508