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164161368 = 233272193179
BaseRepresentation
bin10011100100011…
…10011101011000
3102102220021001200
421302032131120
5314011130433
624142314200
74032230400
oct1162163530
9372807050
10164161368
1184734958
1246b88960
1328019907
1417b33800
15e62a613
hex9c8e758

164161368 has 288 divisors, whose sum is σ = 569088000. Its totient is φ = 42456960.

The previous prime is 164161357. The next prime is 164161379. The reversal of 164161368 is 863161461.

164161368 is a `hidden beast` number, since 1 + 641 + 6 + 1 + 3 + 6 + 8 = 666.

164161368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164161357) and next prime (164161379).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2077953 + ... + 2078031.

It is an arithmetic number, because the mean of its divisors is an integer number (1976000).

Almost surely, 2164161368 is an apocalyptic number.

164161368 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 164161368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284544000).

164161368 is an abundant number, since it is smaller than the sum of its proper divisors (404926632).

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

164161368 is a wasteful number, since it uses less digits than its factorization.

164161368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 164161368 is about 12812.5472877176. The cubic root of 164161368 is about 547.5498372098.

The spelling of 164161368 in words is "one hundred sixty-four million, one hundred sixty-one thousand, three hundred sixty-eight".