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13016700450 = 23252132225077
BaseRepresentation
bin11000001111101101…
…10001011000100010
31020121011012220011200
430013312301120202
5203124233403300
65551345022030
7640365061665
oct140766613042
936534186150
1013016700450
11557a651786
122633324916
1312c599b320
148b6a756dc
15512b50200
hex307db1622

13016700450 has 72 divisors (see below), whose sum is σ = 37661670228. Its totient is φ = 3204109440.

The previous prime is 13016700427. The next prime is 13016700457. The reversal of 13016700450 is 5400761031.

13016700450 is a `hidden beast` number, since 130 + 16 + 70 + 0 + 450 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5536699281 + 7480001169 = 74409^2 + 86487^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13016700457) 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, 1106689 + ... + 1118388.

Almost surely, 213016700450 is an apocalyptic number.

13016700450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13016700450 is an abundant number, since it is smaller than the sum of its proper divisors (24644969778).

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

13016700450 is a wasteful number, since it uses less digits than its factorization.

13016700450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225108 (or 2225100 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 13016700450 in words is "thirteen billion, sixteen million, seven hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 2225077 4450154 6675231 11125385 13350462 20025693 22250770 28926001 33376155 40051386 55626925 57852002 66752310 86778003 100128465 111253850 144630005 166880775 173556006 200256930 260334009 289260010 333761550 433890015 500642325 520668018 723150025 867780030 1001284650 1301670045 1446300050 2169450075 2603340090 4338900150 6508350225 13016700450