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163042351440606 = 23211234359130110847
BaseRepresentation
bin100101000100100101000001…
…011100001110001011011110
3210101021200210210200102022100
4211010211001130032023132
5132332241213432044411
61334432342223025530
746225264313634621
oct4504450134161336
9711250723612270
10163042351440606
1147a4a966979140
121635284973b2a6
136cc8a9b7bca51
142c3941302bdb8
1513cb18bc31456
hex94494170e2de

163042351440606 has 384 divisors, whose sum is σ = 418814474158080. Its totient is φ = 45338188896000.

The previous prime is 163042351440599. The next prime is 163042351440613. The reversal of 163042351440606 is 606044153240361.

163042351440606 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 4 + 2 + 35 + 1 + 4 + 4 + 0 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (163042351440599) and next prime (163042351440613).

It is a super-3 number, since 3×1630423514406063 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15031095475 + ... + 15031106321.

It is an arithmetic number, because the mean of its divisors is an integer number (1090662693120).

Almost surely, 2163042351440606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163042351440606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209407237079040).

163042351440606 is an abundant number, since it is smaller than the sum of its proper divisors (255772122717474).

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

163042351440606 is a wasteful number, since it uses less digits than its factorization.

163042351440606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 163042351440606 in words is "one hundred sixty-three trillion, forty-two billion, three hundred fifty-one million, four hundred forty thousand, six hundred six".