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11744066304 = 28325097251
BaseRepresentation
bin10101111000000000…
…00011101100000000
31010022110112101022200
422330000003230000
5143022440110204
65221204033200
7564012626235
oct127400035400
933273471280
1011744066304
114a87245923
122339092800
131152125379
147d5a3978c
1548b068539
hex2bc003b00

11744066304 has 54 divisors (see below), whose sum is σ = 33861045036. Its totient is φ = 3914688000.

The previous prime is 11744066267. The next prime is 11744066309. The reversal of 11744066304 is 40366044711.

11744066304 is a `hidden beast` number, since 1 + 17 + 4 + 4 + 0 + 6 + 630 + 4 = 666.

It is a super-3 number, since 3×117440663043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11744066309) 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 5 ways as a sum of consecutive naturals, for example, 2546322 + ... + 2550929.

Almost surely, 211744066304 is an apocalyptic number.

It is an amenable number.

11744066304 is an abundant number, since it is smaller than the sum of its proper divisors (22116978732).

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

11744066304 is an equidigital number, since it uses as much as digits as its factorization.

11744066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097273 (or 5097256 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 11744066304 in words is "eleven billion, seven hundred forty-four million, sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 5097251 10194502 15291753 20389004 30583506 40778008 45875259 61167012 81556016 91750518 122334024 163112032 183501036 244668048 326224064 367002072 489336096 652448128 734004144 978672192 1304896256 1468008288 1957344384 2936016576 3914688768 5872033152 11744066304