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10745970048 = 2732112114019
BaseRepresentation
bin10100000001000001…
…00111110110000000
31000201220102211122200
422000200213312000
5134001432020143
64534151233200
7530203144512
oct120040476600
930656384580
1010745970048
114614902390
1220ba978800
131023403878
1473d265bb2
1542d6111d3
hex280827d80

10745970048 has 192 divisors, whose sum is σ = 33902107200. Its totient is φ = 3240115200.

The previous prime is 10745970031. The next prime is 10745970073. The reversal of 10745970048 is 84007954701.

It is a happy number.

10745970048 is a `hidden beast` number, since 10 + 7 + 4 + 597 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10745969985 and 10745970012.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2671783 + ... + 2675801.

It is an arithmetic number, because the mean of its divisors is an integer number (176573475).

Almost surely, 210745970048 is an apocalyptic number.

10745970048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10745970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951053600).

10745970048 is an abundant number, since it is smaller than the sum of its proper divisors (23156137152).

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

10745970048 is a wasteful number, since it uses less digits than its factorization.

10745970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10745970048 in words is "ten billion, seven hundred forty-five million, nine hundred seventy thousand, forty-eight".