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10809792648 = 2332122532
BaseRepresentation
bin10100001000101000…
…00101100010001000
31000220100112100210200
422010110011202020
5134114301331043
64544351212200
7531606502314
oct120424054210
930810470720
1010809792648
114647934236
122118217060
1310336bb715
1474791ab44
1543401b7d3
hex284505888

10809792648 has 36 divisors (see below), whose sum is σ = 29278911285. Its totient is φ = 3602970144.

The previous prime is 10809792647. The next prime is 10809792673. The reversal of 10809792648 is 84629790801.

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 can be written as a sum of positive squares in 2 ways, for example, as 10808097444 + 1695204 = 103962^2 + 1302^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=73518.

It is a junction number, because it is equal to n+sod(n) for n = 10809792594 and 10809792603.

It is not an unprimeable number, because it can be changed into a prime (10809792647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 876090 + ... + 888342.

Almost surely, 210809792648 is an apocalyptic number.

10809792648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10809792648 is an abundant number, since it is smaller than the sum of its proper divisors (18469118637).

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

10809792648 is an frugal number, since it uses more digits than its factorization.

10809792648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24518 (or 12258 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10809792648 in words is "ten billion, eight hundred nine million, seven hundred ninety-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 12253 24506 36759 49012 73518 98024 110277 147036 220554 294072 441108 882216 150136009 300272018 450408027 600544036 900816054 1201088072 1351224081 1801632108 2702448162 3603264216 5404896324 10809792648