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10748712200 = 235273312
BaseRepresentation
bin10100000001010110…
…00101010100001000
31000202002121011011212
422000223011110020
5134003132242300
64534330112252
7530235355232
oct120053052410
930662534155
1010748712200
114616405626
1220bb87b688
131023b53a45
1473d77b252
1542d9a3935
hex280ac5508

10748712200 has 36 divisors (see below), whose sum is σ = 24994165245. Its totient is φ = 4298898400.

The previous prime is 10748712197. The next prime is 10748712203. The reversal of 10748712200 is 221784701.

It is a happy number.

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.

It is an interprime number because it is at equal distance from previous prime (10748712197) and next prime (10748712203).

It can be written as a sum of positive squares in 2 ways, for example, as 10533737956 + 214974244 = 102634^2 + 14662^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=73310.

It is not an unprimeable number, because it can be changed into a prime (10748712203) 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 8 ways as a sum of consecutive naturals, for example, 1462535 + ... + 1469865.

Almost surely, 210748712200 is an apocalyptic number.

10748712200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10748712200 is an abundant number, since it is smaller than the sum of its proper divisors (14245453045).

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

10748712200 is an frugal number, since it uses more digits than its factorization.

10748712200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14678 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

Multiplying 10748712200 by its sum of digits (32), we get a square (343958790400 = 5864802).

Multiplying 10748712200 by its product of nonzero digits (6272), we get a square (67415922918400 = 82107202).

The spelling of 10748712200 in words is "ten billion, seven hundred forty-eight million, seven hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7331 14662 29324 36655 58648 73310 146620 183275 293240 366550 733100 1466200 53743561 107487122 214974244 268717805 429948488 537435610 1074871220 1343589025 2149742440 2687178050 5374356100 10748712200