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11724497001 = 32734780809
BaseRepresentation
bin10101110101101010…
…11010000001101001
31010021002201011021200
422322311122001221
5143002432401001
65215224354413
7563354403000
oct127265320151
933232634250
1011724497001
114a7719a148
122332615a09
13114b062cb9
147d31c3c37
154894a0086
hex2bad5a069

11724497001 has 48 divisors (see below), whose sum is σ = 20170176000. Its totient is φ = 6557084352.

The previous prime is 11724496943. The next prime is 11724497039. The reversal of 11724497001 is 10079442711.

11724497001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11724497001 - 211 = 11724494953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11724497101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104685 + ... + 185493.

It is an arithmetic number, because the mean of its divisors is an integer number (420212000).

Almost surely, 211724497001 is an apocalyptic number.

It is an amenable number.

11724497001 is a deficient number, since it is larger than the sum of its proper divisors (8445678999).

11724497001 is an equidigital number, since it uses as much as digits as its factorization.

11724497001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80883 (or 80866 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11724497001 in words is "eleven billion, seven hundred twenty-four million, four hundred ninety-seven thousand, one".

Divisors: 1 3 7 9 21 47 49 63 141 147 329 343 423 441 987 1029 2303 2961 3087 6909 16121 20727 48363 80809 145089 242427 565663 727281 1696989 3798023 3959641 5090967 11394069 11878923 26586161 27717487 34182207 35636769 79758483 83152461 186103127 239275449 249457383 558309381 1302721889 1674928143 3908165667 11724497001