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2053023000000 = 263567591657
BaseRepresentation
bin11101111000000001101…
…101001110010111000000
321021021012200222022222220
4131320001231032113000
5232114042342000000
64211051251531040
7301216552365630
oct35700155162700
97237180868886
102053023000000
11721755a63545
12291a812b9a80
1311b7a36ac39b
147151c8926c0
153860ce5b1a0
hex1de01b4e5c0

2053023000000 has 784 divisors, whose sum is σ = 7896123928320. Its totient is φ = 461030400000.

The previous prime is 2053022999977. The next prime is 2053023000001. The reversal of 2053023000000 is 3203502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053023000001) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 1238999172 + ... + 1239000828.

Almost surely, 22053023000000 is an apocalyptic number.

2053023000000 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 2053023000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948061964160).

2053023000000 is an abundant number, since it is smaller than the sum of its proper divisors (5843100928320).

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

2053023000000 is an frugal number, since it uses more digits than its factorization.

2053023000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 2053023000000 its reverse (3203502), we get a palindrome (2053026203502).

The spelling of 2053023000000 in words is "two trillion, fifty-three billion, twenty-three million", and thus it is an aban number and an uban number.