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13648365960 = 2335251453133
BaseRepresentation
bin11001011011000000…
…11000100110001000
31022020011210211100120
430231200120212020
5210422440202320
610134151503240
7662135124255
oct145540304610
938204724316
1013648365960
115874168399
12278a987b20
131396802cb8
1493690242c
1554d325440
hex32d818988

13648365960 has 64 divisors (see below), whose sum is σ = 41108316480. Its totient is φ = 3625056000.

The previous prime is 13648365959. The next prime is 13648365977. The reversal of 13648365960 is 6956384631.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196447 + ... + 256686.

It is an arithmetic number, because the mean of its divisors is an integer number (642317445).

Almost surely, 213648365960 is an apocalyptic number.

13648365960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13648365960 is an abundant number, since it is smaller than the sum of its proper divisors (27459950520).

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

13648365960 is a wasteful number, since it uses less digits than its factorization.

13648365960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453398 (or 453394 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 13648365960 in words is "thirteen billion, six hundred forty-eight million, three hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 7530 10040 15060 30120 453133 906266 1359399 1812532 2265665 2718798 3625064 4531330 5437596 6796995 9062660 10875192 13593990 18125320 27187980 54375960 113736383 227472766 341209149 454945532 568681915 682418298 909891064 1137363830 1364836596 1706045745 2274727660 2729673192 3412091490 4549455320 6824182980 13648365960