Search a number
-
+
161884142472 = 2331317318091217
BaseRepresentation
bin1001011011000100001…
…0111111101110001000
3120110211222120111120110
42112301002333232020
510123014320024342
6202211334554320
714460432335643
oct2266102775610
9513758514513
10161884142472
11627224182a8
122745a8089a0
131235b70a720
147b99c50a5a
1543270b6c9c
hex25b10bfb88

161884142472 has 256 divisors, whose sum is σ = 477346867200. Its totient is φ = 45274890240.

The previous prime is 161884142411. The next prime is 161884142501. The reversal of 161884142472 is 274241488161.

161884142472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 133018408 + ... + 133019624.

It is an arithmetic number, because the mean of its divisors is an integer number (1864636200).

Almost surely, 2161884142472 is an apocalyptic number.

161884142472 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 161884142472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238673433600).

161884142472 is an abundant number, since it is smaller than the sum of its proper divisors (315462724728).

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

161884142472 is a wasteful number, since it uses less digits than its factorization.

161884142472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2092 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The spelling of 161884142472 in words is "one hundred sixty-one billion, eight hundred eighty-four million, one hundred forty-two thousand, four hundred seventy-two".