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10480003456 = 27136298079
BaseRepresentation
bin10011100001010100…
…00010100110000000
31000001100222100002011
421300222002212000
5132430340102311
64451530502304
7520463362636
oct116052024600
930040870064
1010480003456
11449876378a
122045894994
13cb02908a0
14715bd1356
154150c6321
hex270a82980

10480003456 has 32 divisors (see below), whose sum is σ = 22484145600. Its totient is φ = 4836923904.

The previous prime is 10480003453. The next prime is 10480003477. The reversal of 10480003456 is 65430008401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10480003453) 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 3 ways as a sum of consecutive naturals, for example, 3147376 + ... + 3150703.

It is an arithmetic number, because the mean of its divisors is an integer number (702629550).

Almost surely, 210480003456 is an apocalyptic number.

10480003456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10480003456 is an abundant number, since it is smaller than the sum of its proper divisors (12004142144).

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

10480003456 is an equidigital number, since it uses as much as digits as its factorization.

10480003456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298106 (or 6298094 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 10480003456 in words is "ten billion, four hundred eighty million, three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 6298079 12596158 25192316 50384632 81875027 100769264 163750054 201538528 327500108 403077056 655000216 806154112 1310000432 2620000864 5240001728 10480003456