Search a number
-
+
2030401692000 = 253253114324759
BaseRepresentation
bin11101100010111101010…
…111110010000101100000
321012002211011222211011200
4131202331113302011200
5231231230313121000
64152430442441200
7266456150423433
oct35427527620540
97162734884150
102030401692000
117130a7905a80
12289609503200
13119609c10c36
14703b43bd81a
1537c37001500
hex1d8bd5f2160

2030401692000 has 1728 divisors, whose sum is σ = 8358586629120. Its totient is φ = 462567168000.

The previous prime is 2030401691977. The next prime is 2030401692013. The reversal of 2030401692000 is 2961040302.

2030401692000 is a `hidden beast` number, since 20 + 30 + 401 + 6 + 9 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34413587971 + ... + 34413588029.

It is an arithmetic number, because the mean of its divisors is an integer number (4837145040).

Almost surely, 22030401692000 is an apocalyptic number.

2030401692000 is a gapful number since it is divisible by the number (20) 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 2030401692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179293314560).

2030401692000 is an abundant number, since it is smaller than the sum of its proper divisors (6328184937120).

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

2030401692000 is a wasteful number, since it uses less digits than its factorization.

2030401692000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 2030401692000 in words is "two trillion, thirty billion, four hundred one million, six hundred ninety-two thousand".