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11732247040 = 2954582909
BaseRepresentation
bin10101110110100101…
…11110001000000000
31010021122021220100011
422323102332020000
5143011423401130
65220102434304
7563510311603
oct127322761000
933248256304
1011732247040
114a80602938
122335132994
13114c847717
147d424033a
15489ed152a
hex2bb4be200

11732247040 has 40 divisors (see below), whose sum is σ = 28129901580. Its totient is φ = 4692897792.

The previous prime is 11732247017. The next prime is 11732247133. The reversal of 11732247040 is 4074223711.

It can be written as a sum of positive squares in 2 ways, for example, as 11598428416 + 133818624 = 107696^2 + 11568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11732246993 and 11732247011.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2288895 + ... + 2294014.

Almost surely, 211732247040 is an apocalyptic number.

11732247040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11732247040 is an abundant number, since it is smaller than the sum of its proper divisors (16397654540).

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

11732247040 is an frugal number, since it uses more digits than its factorization.

11732247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582932 (or 4582916 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 11732247040 in words is "eleven billion, seven hundred thirty-two million, two hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4582909 9165818 18331636 22914545 36663272 45829090 73326544 91658180 146653088 183316360 293306176 366632720 586612352 733265440 1173224704 1466530880 2346449408 2933061760 5866123520 11732247040