Search a number
-
+
2030492772000 = 25345373112151
BaseRepresentation
bin11101100011000010110…
…011001110011010100000
321012010001112101011110000
4131203002303032122200
5231231422122201000
64152443454540000
7266461334535000
oct35430263163240
97163045334400
102030492772000
11713144264800
12289633b07600
13119622a50624
14703c252c000
1537c3eee3000
hex1d8c2cce6a0

2030492772000 has 2880 divisors, whose sum is σ = 9616249843200. Its totient is φ = 419126400000.

The previous prime is 2030492771987. The next prime is 2030492772013. The reversal of 2030492772000 is 2772940302.

It is an interprime number because it is at equal distance from previous prime (2030492771987) and next prime (2030492772013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13446971925 + ... + 13446972075.

It is an arithmetic number, because the mean of its divisors is an integer number (3338975640).

Almost surely, 22030492772000 is an apocalyptic number.

2030492772000 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 2030492772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808124921600).

2030492772000 is an abundant number, since it is smaller than the sum of its proper divisors (7585757071200).

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

2030492772000 is a wasteful number, since it uses less digits than its factorization.

2030492772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 2030492772000 in words is "two trillion, thirty billion, four hundred ninety-two million, seven hundred seventy-two thousand".