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14753680424 = 23719411272663
BaseRepresentation
bin11011011110110001…
…10100110000101000
31102002012122121202022
431233120310300220
5220203420233144
610435554324012
71031416133360
oct155730646050
942065577668
1014753680424
11629108251a
122a38b89608
1315117c4922
149dd6259a0
155b53aacee
hex36f634c28

14753680424 has 128 divisors (see below), whose sum is σ = 34371993600. Its totient is φ = 5795919360.

The previous prime is 14753680423. The next prime is 14753680427. The reversal of 14753680424 is 42408635741.

It is a happy number.

14753680424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14753680423) 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 31 ways as a sum of consecutive naturals, for example, 5538917 + ... + 5541579.

It is an arithmetic number, because the mean of its divisors is an integer number (268531200).

Almost surely, 214753680424 is an apocalyptic number.

14753680424 is a gapful number since it is divisible by the number (14) 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 14753680424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17185996800).

14753680424 is an abundant number, since it is smaller than the sum of its proper divisors (19618313176).

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

14753680424 is a wasteful number, since it uses less digits than its factorization.

14753680424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 14753680424 in words is "fourteen billion, seven hundred fifty-three million, six hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 41 56 76 82 127 133 152 164 254 266 287 328 508 532 574 779 889 1016 1064 1148 1558 1778 2296 2413 2663 3116 3556 4826 5207 5326 5453 6232 7112 9652 10414 10652 10906 16891 18641 19304 20828 21304 21812 33782 36449 37282 41656 43624 50597 67564 72898 74564 98933 101194 109183 135128 145796 149128 197866 202388 218366 291592 338201 354179 395732 404776 436732 676402 692531 708358 764281 791464 873464 1352804 1385062 1416716 1528562 2074477 2367407 2705608 2770124 2833432 3057124 4148954 4734814 5540248 6114248 6425819 8297908 9469628 12851638 13866241 14521339 16595816 18939256 25703276 27732482 29042678 44980733 51406552 55464964 58085356 89961466 97063687 110929928 116170712 179922932 194127374 263458579 359845864 388254748 526917158 776509496 1053834316 1844210053 2107668632 3688420106 7376840212 14753680424