Search a number
-
+
13146551550 = 232521112292161
BaseRepresentation
bin11000011111001100…
…00111010011111110
31020221012120000101200
430033212013103332
5203411004122200
610012304120330
7643532562426
oct141746072376
936835500350
1013146551550
115636981840
12266a9060a6
1313168640b2
148c9dd7486
1551e24e800
hex30f9874fe

13146551550 has 144 divisors (see below), whose sum is σ = 38580544080. Its totient is φ = 3182976000.

The previous prime is 13146551549. The next prime is 13146551563. The reversal of 13146551550 is 5515564131.

13146551550 is a `hidden beast` number, since 1 + 31 + 4 + 65 + 515 + 50 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6082470 + ... + 6084630.

It is an arithmetic number, because the mean of its divisors is an integer number (267920445).

Almost surely, 213146551550 is an apocalyptic number.

13146551550 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 13146551550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290272040).

13146551550 is an abundant number, since it is smaller than the sum of its proper divisors (25433992530).

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

13146551550 is a wasteful number, since it uses less digits than its factorization.

13146551550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 13146551550 in words is "thirteen billion, one hundred forty-six million, five hundred fifty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1229 1650 2161 2458 2475 3687 4322 4950 6145 6483 7374 10805 11061 12290 12966 13519 18435 19449 21610 22122 23771 27038 30725 32415 36870 38898 40557 47542 54025 55305 61450 64830 67595 71313 81114 92175 97245 108050 110610 118855 121671 135190 142626 162075 184350 194490 202785 213939 237710 243342 276525 324150 337975 356565 405570 427878 486225 553050 594275 608355 675950 713130 972450 1013925 1069695 1188550 1216710 1782825 2027850 2139390 2655869 3041775 3565650 5311738 5348475 6083550 7967607 10696950 13279345 15935214 23902821 26558690 29214559 39838035 47805642 58429118 66396725 79676070 87643677 119514105 132793450 146072795 175287354 199190175 239028210 262931031 292145590 398380350 438218385 525862062 597570525 730363975 876436770 1195141050 1314655155 1460727950 2191091925 2629310310 4382183850 6573275775 13146551550