Search a number
-
+
2108486268 = 22337217231019
BaseRepresentation
bin111110110101100…
…1111001001111100
312102221111012102000
41331223033021330
513304233030033
6545120102300
7103151560200
oct17553171174
95387435360
102108486268
11992204a39
124aa164990
13277a9c715
14160058b00
15c5191a13
hex7dacf27c

2108486268 has 288 divisors, whose sum is σ = 7032614400. Its totient is φ = 541804032.

The previous prime is 2108486231. The next prime is 2108486269. The reversal of 2108486268 is 8626848012.

2108486268 is a `hidden beast` number, since 2 + 10 + 8 + 4 + 8 + 626 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108486269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2068663 + ... + 2069681.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 22108486268 is an apocalyptic number.

2108486268 is a gapful number since it is divisible by the number (28) 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 2108486268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516307200).

2108486268 is an abundant number, since it is smaller than the sum of its proper divisors (4924128132).

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

2108486268 is a wasteful number, since it uses less digits than its factorization.

2108486268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2108486268 is about 45918.2563693353. The cubic root of 2108486268 is about 1282.3018208877.

The spelling of 2108486268 in words is "two billion, one hundred eight million, four hundred eighty-six thousand, two hundred sixty-eight".