Search a number
-
+
17012534123420 = 22511347631353173
BaseRepresentation
bin1111011110010000101000…
…0011011001101110011100
32020020101022202100200010222
43313210022003121232130
54212213132213422140
6100103241132220512
73404054312036423
oct367441203315634
966211282320128
1017012534123420
115469a7aaa6850
121aa918730a738
1396537648a514
1442b5a7c9c2ba
151e7805c1b5b5
hexf790a0d9b9c

17012534123420 has 96 divisors (see below), whose sum is σ = 39148541139456. Its totient is φ = 6158754604800.

The previous prime is 17012534123401. The next prime is 17012534123423. The reversal of 17012534123420 is 2432143521071.

It is a happy number.

It is a super-3 number, since 3×170125341234203 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17012534123423) 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, 47993954 + ... + 48347126.

It is an arithmetic number, because the mean of its divisors is an integer number (407797303536).

Almost surely, 217012534123420 is an apocalyptic number.

17012534123420 is a gapful number since it is divisible by the number (10) 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 17012534123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19574270569728).

17012534123420 is an abundant number, since it is smaller than the sum of its proper divisors (22136007016036).

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

17012534123420 is a wasteful number, since it uses less digits than its factorization.

17012534123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354171 (or 354169 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 17012534123420 its reverse (2432143521071), we get a palindrome (19444677644491).

The spelling of 17012534123420 in words is "seventeen trillion, twelve billion, five hundred thirty-four million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 347 631 694 1262 1388 1735 2524 3155 3470 3817 6310 6940 6941 7634 12620 13882 15268 19085 27764 34705 38170 69410 76340 138820 218957 353173 437914 706346 875828 1094785 1412692 1765865 2189570 2408527 3531730 3884903 4379140 4817054 7063460 7769806 9634108 12042635 15539612 19424515 24085270 38849030 48170540 77698060 122551031 222852163 245102062 445704326 490204124 612755155 891408652 1114260815 1225510310 1348061341 2228521630 2451020620 2451373793 2696122682 4457043260 4902747586 5392245364 6740306705 9805495172 12256868965 13480613410 24513737930 26961226820 49027475860 77329700561 154659401122 309318802244 386648502805 773297005610 850626706171 1546594011220 1701253412342 3402506824684 4253133530855 8506267061710 17012534123420