Search a number
-
+
1052545056150 = 235272868916481
BaseRepresentation
bin11110101000100001001…
…00101111110110010110
310201121210200012211210210
433110100210233312112
5114221103013244100
62123311005230250
7136021022234400
oct17242044576626
93647720184723
101052545056150
11376422276335
1214bba7262386
13783403b1a43
1438d2cb95b70
151c5a4786c50
hexf51092fd96

1052545056150 has 144 divisors (see below), whose sum is σ = 3037018810320. Its totient is φ = 240539443200.

The previous prime is 1052545056133. The next prime is 1052545056187. The reversal of 1052545056150 is 516505452501.

It is a super-2 number, since 2×10525450561502 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052545056099 and 1052545056108.

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, 63855910 + ... + 63872390.

It is an arithmetic number, because the mean of its divisors is an integer number (21090408405).

Almost surely, 21052545056150 is an apocalyptic number.

1052545056150 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 1052545056150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518509405160).

1052545056150 is an abundant number, since it is smaller than the sum of its proper divisors (1984473754170).

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

1052545056150 is a wasteful number, since it uses less digits than its factorization.

1052545056150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25199 (or 25187 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 39.

The spelling of 1052545056150 in words is "one trillion, fifty-two billion, five hundred forty-five million, fifty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 8689 16481 17378 26067 32962 43445 49443 52134 60823 82405 86890 98886 115367 121646 130335 164810 182469 217225 230734 247215 260670 304115 346101 364938 412025 425761 434450 494430 576835 608230 651675 692202 807569 824050 851522 912345 1153670 1236075 1277283 1303350 1520575 1615138 1730505 1824690 2128805 2422707 2472150 2554566 2884175 3041150 3461010 4037845 4257610 4561725 4845414 5768350 6386415 8075690 8652525 9123450 10644025 12113535 12772830 17305050 20189225 21288050 24227070 31932075 40378450 60567675 63864150 121135350 143203409 286406818 429610227 716017045 859220454 1002423863 1432034090 2004847726 2148051135 3007271589 3580085225 4296102270 5012119315 6014543178 7016967041 7160170450 10024238630 10740255675 14033934082 15036357945 21050901123 21480511350 25060596575 30072715890 35084835205 42101802246 50121193150 70169670410 75181789725 105254505615 150363579450 175424176025 210509011230 350848352050 526272528075 1052545056150