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17140251996 = 22337131917189
BaseRepresentation
bin11111111011010001…
…10111110101011100
31122020112102000111000
433331220313311130
5240100401030441
611512451030300
71144515511110
oct177550676534
948215360430
1017140251996
1172a625301a
1233a429b390
13180208b35a
14b8858b740
156a4b7d2b6
hex3fda37d5c

17140251996 has 96 divisors (see below), whose sum is σ = 50827392000. Its totient is φ = 4893217344.

The previous prime is 17140251991. The next prime is 17140252009. The reversal of 17140251996 is 69915204171.

17140251996 is a `hidden beast` number, since 1 + 7 + 1 + 40 + 2 + 519 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17140251991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988570 + ... + 1005758.

It is an arithmetic number, because the mean of its divisors is an integer number (529452000).

Almost surely, 217140251996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17140251996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25413696000).

17140251996 is an abundant number, since it is smaller than the sum of its proper divisors (33687140004).

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

17140251996 is a wasteful number, since it uses less digits than its factorization.

17140251996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18528 (or 18520 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 17140251996 in words is "seventeen billion, one hundred forty million, two hundred fifty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1319 2638 3957 5276 7914 9233 11871 15828 17189 18466 23742 27699 34378 35613 36932 47484 51567 55398 68756 71226 83097 103134 110796 120323 142452 154701 166194 206268 240646 249291 309402 332388 360969 464103 481292 498582 618804 721938 928206 997164 1082907 1443876 1856412 2165814 3248721 4331628 6497442 12994884 22672291 45344582 68016873 90689164 136033746 158706037 204050619 272067492 317412074 408101238 476118111 612151857 634824148 816202476 952236222 1224303714 1428354333 1904472444 2448607428 2856708666 4285062999 5713417332 8570125998 17140251996