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2176321068 = 2233674
BaseRepresentation
bin1000000110111000…
…0000011000101100
312121200010120021000
42001232000120230
513424114233233
6555542040300
7104634265245
oct20156003054
95550116230
102176321068
11a17527259
12508a19090
13288b6085c
14169075ccc
15cb0e0d13
hex81b8062c

2176321068 has 60 divisors (see below), whose sum is σ = 5727803480. Its totient is φ = 714612888.

The previous prime is 2176321061. The next prime is 2176321129. The reversal of 2176321068 is 8601236712.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2176321068 is a `hidden beast` number, since 2 + 1 + 7 + 632 + 10 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2176321061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32482371 + ... + 32482437.

Almost surely, 22176321068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2176321068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863901740).

2176321068 is an abundant number, since it is smaller than the sum of its proper divisors (3551482412).

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

2176321068 is an frugal number, since it uses more digits than its factorization.

2176321068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2176321068 is about 46651.0564510601. The cubic root of 2176321068 is about 1295.9084511806.

The spelling of 2176321068 in words is "two billion, one hundred seventy-six million, three hundred twenty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 4489 7236 8978 13467 17956 26934 40401 53868 80802 121203 161604 242406 300763 484812 601526 902289 1203052 1804578 2706867 3609156 5413734 8120601 10827468 16241202 20151121 32482404 40302242 60453363 80604484 120906726 181360089 241813452 362720178 544080267 725440356 1088160534 2176321068