Search a number
-
+
2550064000 = 27531114489
BaseRepresentation
bin1001011111111110…
…1110001110000000
320120201101200011211
42113333232032000
520210304022000
61101012415504
7120123120631
oct22777561600
96521350154
102550064000
111099498910
125b2017594
1331840aa13
141a2963888
15edd197ba
hex97fee380

2550064000 has 128 divisors (see below), whose sum is σ = 6916946400. Its totient is φ = 927232000.

The previous prime is 2550063961. The next prime is 2550064057. The reversal of 2550064000 is 4600552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168756 + ... + 183244.

Almost surely, 22550064000 is an apocalyptic number.

2550064000 is a gapful number since it is divisible by the number (20) 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 2550064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458473200).

2550064000 is an abundant number, since it is smaller than the sum of its proper divisors (4366882400).

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

2550064000 is a wasteful number, since it uses less digits than its factorization.

2550064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14529 (or 14507 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2550064000 is about 50498.1583822618. The cubic root of 2550064000 is about 1366.2086375753.

Adding to 2550064000 its reverse (4600552), we get a palindrome (2554664552).

The spelling of 2550064000 in words is "two billion, five hundred fifty million, sixty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 14489 16000 17600 22000 28978 35200 44000 57956 72445 88000 115912 144890 159379 176000 231824 289780 318758 362225 463648 579560 637516 724450 796895 927296 1159120 1275032 1448900 1593790 1811125 1854592 2318240 2550064 2897800 3187580 3622250 3984475 4636480 5100128 5795600 6375160 7244500 7968950 9272960 10200256 11591200 12750320 14489000 15937900 19922375 20400512 23182400 25500640 28978000 31875800 39844750 46364800 51001280 57956000 63751600 79689500 102002560 115912000 127503200 159379000 231824000 255006400 318758000 510012800 637516000 1275032000 2550064000