Search a number
-
+
2030112796800 = 2735211181106213
BaseRepresentation
bin11101100010101100001…
…001101111000010000000
321012002002001101102110110
4131202230021233002000
5231230132333444200
64152342042431320
7266446042024404
oct35425411570200
97162061342413
102030112796800
11712a69826810
12289548802540
1311959210082a
1470387c9b104
1537c1b987b50
hex1d8ac26f080

2030112796800 has 384 divisors, whose sum is σ = 7334934909120. Its totient is φ = 489424896000.

The previous prime is 2030112796721. The next prime is 2030112796807. The reversal of 2030112796800 is 86972110302.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20301127968002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2030112796807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19060494 + ... + 19166706.

Almost surely, 22030112796800 is an apocalyptic number.

2030112796800 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 2030112796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667467454560).

2030112796800 is an abundant number, since it is smaller than the sum of its proper divisors (5304822112320).

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

2030112796800 is a wasteful number, since it uses less digits than its factorization.

2030112796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106432 (or 106415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 2030112796800 in words is "two trillion, thirty billion, one hundred twelve million, seven hundred ninety-six thousand, eight hundred".