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161106968160 = 253251743315199
BaseRepresentation
bin1001011000001010111…
…0010011111001100000
3120101211211011221211200
42112002232103321200
510114421340440120
6202002253241200
714432244430425
oct2260256237140
9511754157750
10161106968160
1162363757786
1227282493200
13122666ba178
147b24947d4c
1542cdc4ce90
hex2582b93e60

161106968160 has 288 divisors, whose sum is σ = 583500153600. Its totient is φ = 40338653184.

The previous prime is 161106968153. The next prime is 161106968167. The reversal of 161106968160 is 61869601161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (161106968153) and next prime (161106968167).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161106968167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10592241 + ... + 10607439.

It is an arithmetic number, because the mean of its divisors is an integer number (2026042200).

Almost surely, 2161106968160 is an apocalyptic number.

161106968160 is a gapful number since it is divisible by the number (10) 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 161106968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291750076800).

161106968160 is an abundant number, since it is smaller than the sum of its proper divisors (422393185440).

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

161106968160 is a wasteful number, since it uses less digits than its factorization.

161106968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15670 (or 15659 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 161106968160 in words is "one hundred sixty-one billion, one hundred six million, nine hundred sixty-eight thousand, one hundred sixty".