Search a number
-
+
10550010605000 = 235489145116339
BaseRepresentation
bin1001100110000101110110…
…1000100110110111001000
31101100120102101012221000112
42121201131220212313020
52340322410203330000
634234335153053452
72136133045346036
oct231413550466710
941316371187015
1010550010605000
1133a8263a48229
1212247b5257288
135b6b282ba059
142868a2243556
1513466b313235
hex9985da26dc8

10550010605000 has 160 divisors (see below), whose sum is σ = 25015170708000. Its totient is φ = 4169457600000.

The previous prime is 10550010604999. The next prime is 10550010605137. The reversal of 10550010605000 is 50601005501.

It is a super-2 number, since 2×105500106050002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 645686831 + ... + 645703169.

It is an arithmetic number, because the mean of its divisors is an integer number (156344816925).

Almost surely, 210550010605000 is an apocalyptic number.

10550010605000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10550010605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507585354000).

10550010605000 is an abundant number, since it is smaller than the sum of its proper divisors (14465160103000).

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

10550010605000 is a wasteful number, since it uses less digits than its factorization.

10550010605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17905 (or 17886 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 10550010605000 in words is "ten trillion, five hundred fifty billion, ten million, six hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 625 712 890 1000 1250 1451 1780 2225 2500 2902 3560 4450 5000 5804 7255 8900 11125 11608 14510 16339 17800 22250 29020 32678 36275 44500 55625 58040 65356 72550 81695 89000 111250 129139 130712 145100 163390 181375 222500 258278 290200 326780 362750 408475 445000 516556 645695 653560 725500 816950 906875 1033112 1291390 1451000 1454171 1633900 1813750 2042375 2582780 2908342 3228475 3267800 3627500 4084750 5165560 5816684 6456950 7255000 7270855 8169500 10211875 11633368 12913900 14541710 16142375 16339000 20423750 23707889 25827800 29083420 32284750 36354275 40847500 47415778 58166840 64569500 72708550 80711875 81695000 94831556 118539445 129139000 145417100 161423750 181771375 189663112 237078890 290834200 322847500 363542750 474157780 592697225 645695000 727085500 908856875 948315560 1185394450 1454171000 1817713750 2110002121 2370788900 2963486125 3635427500 4220004242 4741577800 5926972250 7270855000 8440008484 10550010605 11853944500 14817430625 16880016968 21100021210 23707889000 29634861250 42200042420 52750053025 59269722500 84400084840 105500106050 118539445000 211000212100 263750265125 422000424200 527500530250 1055001060500 1318751325625 2110002121000 2637502651250 5275005302500 10550010605000