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17681941424 = 247194124943
BaseRepresentation
bin10000011101111011…
…010000001110110000
31200122021200200200102
4100131323100032300
5242203034111144
612042321211532
71164114010430
oct203573201660
950567620612
1017681941424
117553aa4334
123515790ba8
13188a37bc44
14bda4b62c0
156d74cdb4e
hex41ded03b0

17681941424 has 120 divisors (see below), whose sum is σ = 42251819520. Its totient is φ = 7002616320.

The previous prime is 17681941399. The next prime is 17681941429. The reversal of 17681941424 is 42414918671.

It is not an unprimeable number, because it can be changed into a prime (17681941429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3574697 + ... + 3579639.

It is an arithmetic number, because the mean of its divisors is an integer number (352098496).

Almost surely, 217681941424 is an apocalyptic number.

17681941424 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 17681941424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21125909760).

17681941424 is an abundant number, since it is smaller than the sum of its proper divisors (24569878096).

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

17681941424 is a wasteful number, since it uses less digits than its factorization.

17681941424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5012 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The spelling of 17681941424 in words is "seventeen billion, six hundred eighty-one million, nine hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 41 56 76 82 112 133 152 164 266 287 304 328 532 574 656 779 1064 1148 1558 1681 2128 2296 3116 3362 4592 4943 5453 6232 6724 9886 10906 11767 12464 13448 19772 21812 23534 26896 31939 34601 39544 43624 47068 63878 69202 79088 87248 93917 94136 127756 138404 187834 188272 202663 223573 255512 276808 375668 405326 447146 511024 553616 657419 751336 810652 894292 1314838 1418641 1502672 1621304 1788584 2629676 2837282 3242608 3577168 3850597 5259352 5674564 7701194 8309183 10518704 11349128 15402388 16618366 22698256 26954179 30804776 33236732 53908358 58164281 61609552 66473464 107816716 116328562 132946928 157874477 215633432 232657124 315748954 431266864 465314248 631497908 930628496 1105121339 1262995816 2210242678 2525991632 4420485356 8840970712 17681941424