Search a number
-
+
2089939968 = 2103537227
BaseRepresentation
bin111110010010001…
…1111010000000000
312101122120221200000
41330210133100000
513240011034333
6543214400000
7102535124304
oct17444372000
95348527600
102089939968
11982797916
124a3b00000
13273ca7b8c
1415b7cbd04
15c372b713
hex7c91f400

2089939968 has 264 divisors, whose sum is σ = 6455615712. Its totient is φ = 674832384.

The previous prime is 2089939909. The next prime is 2089939987. The reversal of 2089939968 is 8699399802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9206671 + ... + 9206897.

Almost surely, 22089939968 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 2089939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227807856).

2089939968 is an abundant number, since it is smaller than the sum of its proper divisors (4365675744).

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

2089939968 is an equidigital number, since it uses as much as digits as its factorization.

2089939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The square root of 2089939968 is about 45715.8612299933. The cubic root of 2089939968 is about 1278.5310231243.

The spelling of 2089939968 in words is "two billion, eighty-nine million, nine hundred thirty-nine thousand, nine hundred sixty-eight".