Search a number
-
+
1066144587900 = 2235273116377029
BaseRepresentation
bin11111000001110110010…
…10110110000001111100
310202220220110010122012220
433200323022312001330
5114431431003303100
62133440254325340
7140012025321120
oct17407312660174
93686813118186
101066144587900
11381170909877
121527617b9850
13796c9a47152
143985cdc5580
151caed662aa0
hexf83b2b607c

1066144587900 has 144 divisors (see below), whose sum is σ = 3639107082240. Its totient is φ = 235829203200.

The previous prime is 1066144587829. The next prime is 1066144587919. The reversal of 1066144587900 is 97854416601.

It is a super-2 number, since 2×10661445879002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8123415 + ... + 8253614.

It is an arithmetic number, because the mean of its divisors is an integer number (25271576960).

Almost surely, 21066144587900 is an apocalyptic number.

1066144587900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066144587900 is an abundant number, since it is smaller than the sum of its proper divisors (2572962494340).

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

1066144587900 is a wasteful number, since it uses less digits than its factorization.

1066144587900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377084 (or 16377077 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1066144587900 in words is "one trillion, sixty-six billion, one hundred forty-four million, five hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 930 1050 1085 1302 1550 1860 2100 2170 2325 2604 3100 3255 4340 4650 5425 6510 9300 10850 13020 16275 21700 32550 65100 16377029 32754058 49131087 65508116 81885145 98262174 114639203 163770290 196524348 229278406 245655435 327540580 343917609 409425725 458556812 491310870 507687899 573196015 687835218 818851450 982621740 1015375798 1146392030 1228277175 1375670436 1523063697 1637702900 1719588045 2030751596 2292784060 2456554350 2538439495 2865980075 3046127394 3439176090 3553815293 4913108700 5076878990 5731960150 6092254788 6878352180 7107630586 7615318485 8597940225 10153757980 10661445879 11463920300 12692197475 14215261172 15230636970 17195880450 17769076465 21322891758 25384394950 30461273940 34391760900 35538152930 38076592425 42645783516 50768789900 53307229395 71076305860 76153184850 88845382325 106614458790 152306369700 177690764650 213228917580 266536146975 355381529300 533072293950 1066144587900