Search a number
-
+
17148009990 = 2351743839421
BaseRepresentation
bin11111111100001100…
…11101111000000110
31122021002000011110010
433332012131320012
5240104342304430
611513325211050
71144641452136
oct177606357006
948232004403
1017148009990
1172aa671791
1233a6a00a86
131803876597
14b8960aac6
156a56b1cb0
hex3fe19de06

17148009990 has 128 divisors (see below), whose sum is σ = 45131530752. Its totient is φ = 4152637440.

The previous prime is 17148009953. The next prime is 17148009997. The reversal of 17148009990 is 9990084171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17148009997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1815480 + ... + 1824900.

It is an arithmetic number, because the mean of its divisors is an integer number (352590084).

Almost surely, 217148009990 is an apocalyptic number.

17148009990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17148009990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22565765376).

17148009990 is an abundant number, since it is smaller than the sum of its proper divisors (27983520762).

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

17148009990 is a wasteful number, since it uses less digits than its factorization.

17148009990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574.

The product of its (nonzero) digits is 163296, while the sum is 48.

The spelling of 17148009990 in words is "seventeen billion, one hundred forty-eight million, nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 83 85 86 102 129 166 170 215 249 255 258 415 430 498 510 645 731 830 1245 1290 1411 1462 2193 2490 2822 3569 3655 4233 4386 7055 7138 7310 8466 9421 10707 10965 14110 17845 18842 21165 21414 21930 28263 35690 42330 47105 53535 56526 60673 94210 107070 121346 141315 160157 182019 282630 303365 320314 364038 405103 480471 606730 781943 800785 810206 910095 960942 1215309 1563886 1601570 1820190 2025515 2345829 2402355 2430618 3909715 4051030 4691658 4804710 6076545 6886751 7819430 11729145 12153090 13293031 13773502 20660253 23458290 26586062 33623549 34433755 39879093 41320506 66465155 67247098 68867510 79758186 100870647 103301265 132930310 168117745 199395465 201741294 206602530 336235490 398790930 504353235 571600333 1008706470 1143200666 1714800999 2858001665 3429601998 5716003330 8574004995 17148009990