Search a number
-
+
17142186126 = 2313231619881
BaseRepresentation
bin11111111011100000…
…10000000010001110
31122020200001021121110
433331300100002032
5240101344424001
611513000312450
71144541115012
oct177560200216
948220037543
1017142186126
1172a735417a
1233a4a72726
1318025b7800
14b88932542
156a4e113d6
hex3fdc1008e

17142186126 has 96 divisors (see below), whose sum is σ = 38427540480. Its totient is φ = 5090342400.

The previous prime is 17142186109. The next prime is 17142186163. The reversal of 17142186126 is 62168124171.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19457206 + ... + 19458086.

It is an arithmetic number, because the mean of its divisors is an integer number (400286880).

Almost surely, 217142186126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17142186126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213770240).

17142186126 is an abundant number, since it is smaller than the sum of its proper divisors (21285354354).

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

17142186126 is a wasteful number, since it uses less digits than its factorization.

17142186126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1549 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The spelling of 17142186126 in words is "seventeen billion, one hundred forty-two million, one hundred eighty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 619 806 881 1014 1209 1238 1762 1857 2418 2643 3714 5239 5286 8047 10478 11453 15717 16094 19189 22906 24141 27311 31434 34359 38378 48282 54622 57567 68718 81933 104611 115134 148889 163866 209222 249457 297778 313833 355043 446667 498914 545339 627666 710086 748371 893334 1065129 1090678 1496742 1636017 2130258 3242941 3272034 4615559 6485882 7089407 9231118 9728823 13846677 14178814 16905509 19457646 21268221 27693354 33811018 42536442 50716527 92162291 101433054 184324582 219771617 276486873 439543234 552973746 659314851 1318629702 2857031021 5714062042 8571093063 17142186126