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2024250746112 = 2835753139631
BaseRepresentation
bin11101011101001110101…
…111110010010100000000
321011111221111220101200000
4131131032233302110000
5231131131142333422
64145532234400000
7266150551305540
oct35351657622400
97144844811600
102024250746112
11710530857321
12288391590000
13118b697a489a
146dd8d51b320
15379c6eedcac
hex1d74ebf2500

2024250746112 has 864 divisors, whose sum is σ = 7109697853440. Its totient is φ = 562469806080.

The previous prime is 2024250746093. The next prime is 2024250746129. The reversal of 2024250746112 is 2116470524202.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3208004037 + ... + 3208004667.

It is an arithmetic number, because the mean of its divisors is an integer number (8228816960).

Almost surely, 22024250746112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024250746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554848926720).

2024250746112 is an abundant number, since it is smaller than the sum of its proper divisors (5085447107328).

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

2024250746112 is an equidigital number, since it uses as much as digits as its factorization.

2024250746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2024250746112 in words is "two trillion, twenty-four billion, two hundred fifty million, seven hundred forty-six thousand, one hundred twelve".