Search a number
-
+
161986535424 = 213337104623
BaseRepresentation
bin1001011011011100100…
…1100110000000000000
3120111010010020121022000
42112313021212000000
510123222023113144
6202225433344000
714463114555450
oct2266711460000
9514103217260
10161986535424
11627751a367a
1227488b68000
13123769ab47c
147ba96a5d60
154331090769
hex25b7266000

161986535424 has 224 divisors, whose sum is σ = 548497597440. Its totient is φ = 46281424896.

The previous prime is 161986535423. The next prime is 161986535453. The reversal of 161986535424 is 424535689161.

161986535424 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 86 + 535 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161986535423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495977 + ... + 1600599.

Almost surely, 2161986535424 is an apocalyptic number.

161986535424 is a gapful number since it is divisible by the number (14) 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 161986535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274248798720).

161986535424 is an abundant number, since it is smaller than the sum of its proper divisors (386511062016).

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

161986535424 is an equidigital number, since it uses as much as digits as its factorization.

161986535424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104665 (or 104635 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 161986535424 in words is "one hundred sixty-one billion, nine hundred eighty-six million, five hundred thirty-five thousand, four hundred twenty-four".