Search a number
-
+
20270900144 = 241197212241
BaseRepresentation
bin10010111000001111…
…010110001110110000
31221022201021102101102
4102320033112032300
5313003322301034
613151243423532
71315221544145
oct227017261660
957281242342
1020270900144
118662438340
123b18824ba8
131bb0857391
14da42823cc
157d992c97e
hex4b83d63b0

20270900144 has 60 divisors (see below), whose sum is σ = 43295106168. Its totient is φ = 9118310400.

The previous prime is 20270900131. The next prime is 20270900189. The reversal of 20270900144 is 44100907202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1649864 + ... + 1662104.

Almost surely, 220270900144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20270900144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21647553084).

20270900144 is an abundant number, since it is smaller than the sum of its proper divisors (23024206024).

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

20270900144 is a wasteful number, since it uses less digits than its factorization.

20270900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454 (or 12351 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 20270900144 in words is "twenty billion, two hundred seventy million, nine hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 1067 1552 2134 4268 8536 9409 12241 17072 18818 24482 37636 48964 75272 97928 103499 134651 150544 195856 206998 269302 413996 538604 827992 1077208 1187377 1655984 2154416 2374754 4749508 9499016 13061147 18998032 26122294 52244588 104489176 115175569 208978352 230351138 460702276 921404552 1266931259 1842809104 2533862518 5067725036 10135450072 20270900144