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1171116161216 = 26293471818413
BaseRepresentation
bin10001000010101011111…
…101100111100011000000
311010221212002200001221122
4101002223331213203000
5123141421214124331
62254000415411412
7150416231060351
oct21025375474300
94127762601848
101171116161216
114117385a6551
1216ab78523b68
1386588541641
144097a427d28
15206e408b17b
hex110abf678c0

1171116161216 has 56 divisors (see below), whose sum is σ = 2410998754320. Its totient is φ = 563736814592.

The previous prime is 1171116161207. The next prime is 1171116161219. The reversal of 1171116161216 is 6121616111711.

It is a super-2 number, since 2×11711161612162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1171116161219) 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 7 ways as a sum of consecutive naturals, for example, 265175 + ... + 1553238.

Almost surely, 21171116161216 is an apocalyptic number.

1171116161216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1171116161216 is an abundant number, since it is smaller than the sum of its proper divisors (1239882593104).

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

1171116161216 is a wasteful number, since it uses less digits than its factorization.

1171116161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818801 (or 1818791 counting only the distinct ones).

The product of its digits is 3024, while the sum is 35.

The spelling of 1171116161216 in words is "one trillion, one hundred seventy-one billion, one hundred sixteen million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 347 464 694 928 1388 1856 2776 5552 10063 11104 20126 22208 40252 80504 161008 322016 644032 1818413 3636826 7273652 14547304 29094608 52733977 58189216 105467954 116378432 210935908 421871816 630989311 843743632 1261978622 1687487264 2523957244 3374974528 5047914488 10095828976 18298690019 20191657952 36597380038 40383315904 73194760076 146389520152 292779040304 585558080608 1171116161216