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12177368820204 = 2237144968676431
BaseRepresentation
bin1011000100110100001110…
…1111100010100111101100
31121010010220202210201220120
42301031003233202213230
53044003222404221304
641522112255244540
72364533360060340
oct261150357424754
947103822721816
1012177368820204
113975436265725
121448080219750
136a44231951c3
1430156017b620
15161b6463a0d9
hexb1343be29ec

12177368820204 has 24 divisors (see below), whose sum is σ = 32472983520768. Its totient is φ = 3479248234320.

The previous prime is 12177368820203. The next prime is 12177368820217. The reversal of 12177368820204 is 40202886377121.

It is a happy number.

It is a super-2 number, since 2×121773688202042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12177368820203) 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 7 ways as a sum of consecutive naturals, for example, 72484338132 + ... + 72484338299.

It is an arithmetic number, because the mean of its divisors is an integer number (1353040980032).

Almost surely, 212177368820204 is an apocalyptic number.

12177368820204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12177368820204 is an abundant number, since it is smaller than the sum of its proper divisors (20295614700564).

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

12177368820204 is a wasteful number, since it uses less digits than its factorization.

12177368820204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144968676445 (or 144968676443 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 12177368820204 in words is "twelve trillion, one hundred seventy-seven billion, three hundred sixty-eight million, eight hundred twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 144968676431 289937352862 434906029293 579874705724 869812058586 1014780735017 1739624117172 2029561470034 3044342205051 4059122940068 6088684410102 12177368820204