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161289216 = 21032113743
BaseRepresentation
bin10011001110100…
…01010000000000
3102020111100012200
421213101100000
5312242223331
624000553200
73665635644
oct1147212000
9366440180
10161289216
1183052a80
1246022800
132755250a
14175c6c24
15e25e5e6
hex99d1400

161289216 has 264 divisors, whose sum is σ = 533923104. Its totient is φ = 46448640.

The previous prime is 161289199. The next prime is 161289241. The reversal of 161289216 is 612982161.

161289216 is a `hidden beast` number, since 161 + 289 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×1612892162 = 52028422395789312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3750891 + ... + 3750933.

It is an arithmetic number, because the mean of its divisors is an integer number (2022436).

Almost surely, 2161289216 is an apocalyptic number.

161289216 is a gapful number since it is divisible by the number (16) 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 161289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266961552).

161289216 is an abundant number, since it is smaller than the sum of its proper divisors (372633888).

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

161289216 is a wasteful number, since it uses less digits than its factorization.

161289216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 161289216 is about 12699.9691338208. The cubic root of 161289216 is about 544.3377372192.

The spelling of 161289216 in words is "one hundred sixty-one million, two hundred eighty-nine thousand, two hundred sixteen".