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12147601104 = 24361041461
BaseRepresentation
bin10110101000000110…
…11010111011010000
31011100120212002000000
423110003122323100
5144334241213404
65325221130000
7610012622442
oct132403327320
934316762000
1012147601104
115174005561
122430259900
1311b7903862
14833480492
154b16c9339
hex2d40daed0

12147601104 has 70 divisors (see below), whose sum is σ = 35287856946. Its totient is φ = 4049196480.

The previous prime is 12147601099. The next prime is 12147601121. The reversal of 12147601104 is 40110674121.

12147601104 is a `hidden beast` number, since 1 + 2 + 1 + 47 + 601 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12016544400 + 131056704 = 109620^2 + 11448^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 509067 + ... + 532394.

Almost surely, 212147601104 is an apocalyptic number.

It is an amenable number.

12147601104 is an abundant number, since it is smaller than the sum of its proper divisors (23140255842).

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

12147601104 is an equidigital number, since it uses as much as digits as its factorization.

12147601104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041487 (or 1041466 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12147601104 in words is "twelve billion, one hundred forty-seven million, six hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 1041461 2082922 3124383 4165844 6248766 8331688 9373149 12497532 16663376 18746298 24995064 28119447 37492596 49990128 56238894 74985192 84358341 112477788 149970384 168716682 224955576 253075023 337433364 449911152 506150046 674866728 759225069 1012300092 1349733456 1518450138 2024600184 3036900276 4049200368 6073800552 12147601104