Search a number
-
+
2080069992 = 23327311131931
BaseRepresentation
bin111101111111011…
…0101100101101000
312100222000111121100
41323332311211220
513224444214432
6542223041400
7102355206000
oct17376654550
95328014540
102080069992
11978166410
124a0740260
13271c30560
1415a37d000
15c292c07c
hex7bfb5968

2080069992 has 768 divisors, whose sum is σ = 8386560000. Its totient is φ = 457228800.

The previous prime is 2080069991. The next prime is 2080069993. The reversal of 2080069992 is 2999600802.

It is an interprime number because it is at equal distance from previous prime (2080069991) and next prime (2080069993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080069991) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67099017 + ... + 67099047.

It is an arithmetic number, because the mean of its divisors is an integer number (10920000).

Almost surely, 22080069992 is an apocalyptic number.

2080069992 is a gapful number since it is divisible by the number (22) 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 2080069992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280000).

2080069992 is an abundant number, since it is smaller than the sum of its proper divisors (6306490008).

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

2080069992 is a wasteful number, since it uses less digits than its factorization.

2080069992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2080069992 is about 45607.7843355715. The cubic root of 2080069992 is about 1276.5151776960.

The spelling of 2080069992 in words is "two billion, eighty million, sixty-nine thousand, nine hundred ninety-two".