Search a number
-
+
20305547550 = 23252239188801
BaseRepresentation
bin10010111010010011…
…100001000100011110
31221102010110200200200
4102322103201010132
5313041210010200
613154522204330
71316122210041
oct227223410436
957363420620
1020305547550
11867aa52462
123b283536a6
131bb7a987c2
14da8b00c58
157dc9c3800
hex4ba4e111e

20305547550 has 72 divisors (see below), whose sum is σ = 54782788320. Its totient is φ = 5392128000.

The previous prime is 20305547531. The next prime is 20305547579. The reversal of 20305547550 is 5574550302.

20305547550 is a `hidden beast` number, since 2 + 0 + 30 + 554 + 75 + 5 + 0 = 666.

It is a super-2 number, since 2×203055475502 (a number of 21 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 35 ways as a sum of consecutive naturals, for example, 13150 + ... + 201950.

It is an arithmetic number, because the mean of its divisors is an integer number (760872060).

Almost surely, 220305547550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20305547550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27391394160).

20305547550 is an abundant number, since it is smaller than the sum of its proper divisors (34477240770).

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

20305547550 is a wasteful number, since it uses less digits than its factorization.

20305547550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189058 (or 189050 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The spelling of 20305547550 in words is "twenty billion, three hundred five million, five hundred forty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 239 450 478 717 1195 1434 2151 2390 3585 4302 5975 7170 10755 11950 17925 21510 35850 53775 107550 188801 377602 566403 944005 1132806 1699209 1888010 2832015 3398418 4720025 5664030 8496045 9440050 14160075 16992090 28320150 42480225 45123439 84960450 90246878 135370317 225617195 270740634 406110951 451234390 676851585 812221902 1128085975 1353703170 2030554755 2256171950 3384257925 4061109510 6768515850 10152773775 20305547550