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161893315584 = 2103272111323109
BaseRepresentation
bin1001011011000110010…
…1111111010000000000
3120110212121211112201100
42112301211333100000
510123024142044314
6202212303334400
714460603322500
oct2266145772000
9513777745640
10161893315584
1162727613190
12274618b1400
131236059cac0
147b9b15ba00
154327cc9c09
hex25b197f400

161893315584 has 1584 divisors, whose sum is σ = 672743111040. Its totient is φ = 36787322880.

The previous prime is 161893315547. The next prime is 161893315673. The reversal of 161893315584 is 485513398161.

161893315584 is a `hidden beast` number, since 1 + 6 + 1 + 89 + 3 + 3 + 1 + 558 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×1618933155842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161893315584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1485259722 + ... + 1485259830.

It is an arithmetic number, because the mean of its divisors is an integer number (424711560).

Almost surely, 2161893315584 is an apocalyptic number.

161893315584 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 161893315584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336371555520).

161893315584 is an abundant number, since it is smaller than the sum of its proper divisors (510849795456).

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

161893315584 is a wasteful number, since it uses less digits than its factorization.

161893315584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 161893315584 in words is "one hundred sixty-one billion, eight hundred ninety-three million, three hundred fifteen thousand, five hundred eighty-four".