Search a number
-
+
161303516550 = 2325211171916857
BaseRepresentation
bin1001011000111001110…
…0000101010110000110
3120102100112000122112200
42112032130011112012
510120322200012200
6202033554055330
714440152161001
oct2261634052606
9512315018480
10161303516550
11624546a2470
122731827a546
13122983363a7
147b42aac538
1542e1124800
hex258e705586

161303516550 has 144 divisors (see below), whose sum is σ = 500575965552. Its totient is φ = 36803635200.

The previous prime is 161303516527. The next prime is 161303516609. The reversal of 161303516550 is 55615303161.

161303516550 is a `hidden beast` number, since 1 + 6 + 130 + 3 + 516 + 5 + 5 + 0 = 666.

It is a super-2 number, since 2×1613035165502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 874279 + ... + 1042578.

It is an arithmetic number, because the mean of its divisors is an integer number (3476221983).

Almost surely, 2161303516550 is an apocalyptic number.

161303516550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161303516550 is an abundant number, since it is smaller than the sum of its proper divisors (339272449002).

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

161303516550 is a wasteful number, since it uses less digits than its factorization.

161303516550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916903 (or 1916895 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 161303516550 in words is "one hundred sixty-one billion, three hundred three million, five hundred sixteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 25 30 33 34 45 50 51 55 66 75 85 90 99 102 110 150 153 165 170 187 198 225 255 275 306 330 374 425 450 495 510 550 561 765 825 850 935 990 1122 1275 1530 1650 1683 1870 2475 2550 2805 3366 3825 4675 4950 5610 7650 8415 9350 14025 16830 28050 42075 84150 1916857 3833714 5750571 9584285 11501142 17251713 19168570 21085427 28752855 32586569 34503426 42170854 47921425 57505710 63256281 65173138 86258565 95842850 97759707 105427135 126512562 143764275 162932845 172517130 189768843 195519414 210854270 287528550 293279121 316281405 325865690 358452259 379537686 431292825 488798535 527135675 586558242 632562810 716904518 814664225 862585650 948844215 977597070 1054271350 1075356777 1466395605 1581407025 1629328450 1792261295 1897688430 2150713554 2443992675 2932791210 3162814050 3226070331 3584522590 4744221075 4887985350 5376783885 6452140662 7331978025 8961306475 9488442150 10753567770 14663956050 16130351655 17922612950 26883919425 32260703310 53767838850 80651758275 161303516550