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160540538112 = 283410617297
BaseRepresentation
bin1001010110000011110…
…1100011010100000000
3120100101100100022220000
42111200331203110000
510112241334204422
6201430140520000
714412226026033
oct2254075432400
9510340308800
10160540538112
11620a2a48479
1227144850000
13121a6246466
147aad61d01a
154299161cac
hex2560f63500

160540538112 has 180 divisors, whose sum is σ = 479219681556. Its totient is φ = 53455749120.

The previous prime is 160540538107. The next prime is 160540538117. The reversal of 160540538112 is 211835045061.

160540538112 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 4 + 0 + 538 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (160540538107) and next prime (160540538117).

It can be written as a sum of positive squares in 2 ways, for example, as 80147874816 + 80392663296 = 283104^2 + 283536^2 .

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 (160540538117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21997248 + ... + 22004544.

Almost surely, 2160540538112 is an apocalyptic number.

160540538112 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 160540538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239609840778).

160540538112 is an abundant number, since it is smaller than the sum of its proper divisors (318679143444).

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

160540538112 is an equidigital number, since it uses as much as digits as its factorization.

160540538112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 160540538112 in words is "one hundred sixty billion, five hundred forty million, five hundred thirty-eight thousand, one hundred twelve".