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4484081196 = 2232723233637
BaseRepresentation
bin1000010110100010…
…11010011000101100
3102120111120221000100
410023101122120230
533140411044241
62020541231100
7216056030010
oct41321323054
912514527010
104484081196
1119a1168631
12a51862490
13565cc1baa
14307764540
151b39e69b6
hex10b45a62c

4484081196 has 108 divisors (see below), whose sum is σ = 13542120592. Its totient is φ = 1225426752.

The previous prime is 4484081191. The next prime is 4484081197. The reversal of 4484081196 is 6911804844.

4484081196 is a `hidden beast` number, since 4 + 484 + 0 + 81 + 1 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (4484081191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116490 + ... + 150126.

Almost surely, 24484081196 is an apocalyptic number.

4484081196 is a gapful number since it is divisible by the number (46) 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 4484081196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771060296).

4484081196 is an abundant number, since it is smaller than the sum of its proper divisors (9058039396).

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

4484081196 is a wasteful number, since it uses less digits than its factorization.

4484081196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33700 (or 33672 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4484081196 is about 66963.2824464273. The cubic root of 4484081196 is about 1649.0145564759.

The spelling of 4484081196 in words is "four billion, four hundred eighty-four million, eighty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 529 644 828 966 1058 1449 1587 1932 2116 2898 3174 3703 4761 5796 6348 7406 9522 11109 14812 19044 22218 33327 33637 44436 66654 67274 100911 133308 134548 201822 235459 302733 403644 470918 605466 706377 773651 941836 1210932 1412754 1547302 2119131 2320953 2825508 3094604 4238262 4641906 5415557 6962859 8476524 9283812 10831114 13925718 16246671 17793973 21662228 27851436 32493342 35587946 48740013 53381919 64986684 71175892 97480026 106763838 124557811 160145757 194960052 213527676 249115622 320291514 373673433 498231244 640583028 747346866 1121020299 1494693732 2242040598 4484081196