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161234234172 = 2232112173117001
BaseRepresentation
bin1001011000101001001…
…1110010101100111100
3120102011200122201222200
42112022103302230330
510120201430443142
6202023041111500
714435351243364
oct2261223625474
9512150581880
10161234234172
1162419581600
12272b9028590
1312286b893bb
147b377d59a4
1542d9edb64c
hex258a4f2b3c

161234234172 has 216 divisors, whose sum is σ = 475929076896. Its totient is φ = 45830400000.

The previous prime is 161234234171. The next prime is 161234234209. The reversal of 161234234172 is 271432432161.

161234234172 is a `hidden beast` number, since 1 + 6 + 1 + 234 + 2 + 3 + 417 + 2 = 666.

161234234172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161234234171) 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 71 ways as a sum of consecutive naturals, for example, 23026672 + ... + 23033672.

It is an arithmetic number, because the mean of its divisors is an integer number (2203375356).

Almost surely, 2161234234172 is an apocalyptic number.

161234234172 is a gapful number since it is divisible by the number (12) 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 161234234172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237964538448).

161234234172 is an abundant number, since it is smaller than the sum of its proper divisors (314694842724).

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

161234234172 is a wasteful number, since it uses less digits than its factorization.

161234234172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361 (or 7345 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 161234234172 in words is "one hundred sixty-one billion, two hundred thirty-four million, two hundred thirty-four thousand, one hundred seventy-two".