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18286955085168 = 243371121719359431
BaseRepresentation
bin1000010100001110000110…
…11101100011110101110000
32101202012211100020100102000
410022013003131203311300
54344103141000211133
6102520524452254000
73565121536343430
oct412070335436560
971665740210360
1018286955085168
1159104aa450a00
122074174311300
13a285b60b1963
144731442122c0
1521aa441e2413
hex10a1c3763d70

18286955085168 has 1920 divisors, whose sum is σ = 73867272192000. Its totient is φ = 4213571788800.

The previous prime is 18286955085143. The next prime is 18286955085193. The reversal of 18286955085168 is 86158055968281.

It is a happy number.

18286955085168 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 6 + 9 + 5 + 508 + 51 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (18286955085143) and next prime (18286955085193).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18286955085096 and 18286955085105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42429129913 + ... + 42429130343.

It is an arithmetic number, because the mean of its divisors is an integer number (38472537600).

Almost surely, 218286955085168 is an apocalyptic number.

18286955085168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18286955085168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36933636096000).

18286955085168 is an abundant number, since it is smaller than the sum of its proper divisors (55580317106832).

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

18286955085168 is a wasteful number, since it uses less digits than its factorization.

18286955085168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 331776000, while the sum is 72.

The spelling of 18286955085168 in words is "eighteen trillion, two hundred eighty-six billion, nine hundred fifty-five million, eighty-five thousand, one hundred sixty-eight".