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145163018682 = 23211193110711633
BaseRepresentation
bin1000011100110001100…
…0111110000110111010
3111212200122211101220100
42013030120332012322
54334243213044212
6150404215140230
713326163204623
oct2071430760672
9455618741810
10145163018682
1156621815530
1224172974676
13108c542a336
147051206a4a
153b99129bdc
hex21cc63e1ba

145163018682 has 192 divisors, whose sum is σ = 376338493440. Its totient is φ = 39948940800.

The previous prime is 145163018681. The next prime is 145163018687. The reversal of 145163018682 is 286810361541.

145163018682 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 630 + 1 + 8 + 6 + 8 + 2 = 666.

145163018682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145163018681) 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, 12472738 + ... + 12484370.

It is an arithmetic number, because the mean of its divisors is an integer number (1960096320).

Almost surely, 2145163018682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145163018682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188169246720).

145163018682 is an abundant number, since it is smaller than the sum of its proper divisors (231175474758).

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

145163018682 is a wasteful number, since it uses less digits than its factorization.

145163018682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 145163018682 in words is "one hundred forty-five billion, one hundred sixty-three million, eighteen thousand, six hundred eighty-two".