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11972257287571 = 73192612416577
BaseRepresentation
bin1010111000111000001000…
…1001001000110110010011
31120101112111012021021211201
42232032002021020312103
53032123140331200241
641243551251252031
72343652460602000
oct256160211106623
946345435237751
1011972257287571
1138a6451139399
1214143788aa017
1368ac95b96609
142d56632848a7
1515b65c57c931
hexae382248d93

11972257287571 has 96 divisors (see below), whose sum is σ = 15041317948800. Its totient is φ = 9521332531200.

The previous prime is 11972257287499. The next prime is 11972257287593. The reversal of 11972257287571 is 17578275227911.

It is not a de Polignac number, because 11972257287571 - 221 = 11972255190419 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11972257287371) 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 95 ways as a sum of consecutive naturals, for example, 1820318635 + ... + 1820325211.

It is an arithmetic number, because the mean of its divisors is an integer number (156680395300).

Almost surely, 211972257287571 is an apocalyptic number.

11972257287571 is a deficient number, since it is larger than the sum of its proper divisors (3069060661229).

11972257287571 is an equidigital number, since it uses as much as digits as its factorization.

11972257287571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6905 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 64.

The spelling of 11972257287571 in words is "eleven trillion, nine hundred seventy-two billion, two hundred fifty-seven million, two hundred eighty-seven thousand, five hundred seventy-one".

Divisors: 1 7 19 49 61 133 241 343 361 427 931 1159 1687 2527 2989 4579 6517 6577 8113 11809 14701 17689 20923 22021 32053 46039 56791 82663 87001 102907 123823 124963 154147 224371 279319 322273 397537 401197 609007 720349 874741 1079029 1570597 1585057 1955233 2255911 2374297 2808379 4263049 5042443 5307061 6123187 7553203 7622743 11095399 13686631 16620079 19658653 29841343 30116083 37149427 42862309 53359201 77667793 95806417 96688477 116340553 137610571 144832117 210812581 260045989 373514407 543674551 572205577 676819339 814383871 1013824819 1475688067 1820321923 1837081063 2614600849 4005439039 4737735373 7096773733 10329816469 12859567441 28038073273 33164147611 34904540197 49677416131 90016972087 196266512911 244331781379 630118804609 1710322469653 11972257287571