Search a number
-
+
2023207568448 = 263119714396863
BaseRepresentation
bin11101011100010000100…
…100011000010001000000
321011102020210222110221020
4131130100210120101000
5231122012114142243
64145240531425440
7266112653403333
oct35342044302100
97142223873836
102023207568448
11710045a22520
12288140155280
13118a3162a6b1
146dcd0b7061a
153796563e283
hex1d710918440

2023207568448 has 224 divisors, whose sum is σ = 5904876257280. Its totient is φ = 606262640640.

The previous prime is 2023207568441. The next prime is 2023207568449. The reversal of 2023207568448 is 8448657023202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2023207568448.

It is not an unprimeable number, because it can be changed into a prime (2023207568441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294795865 + ... + 294802727.

It is an arithmetic number, because the mean of its divisors is an integer number (26361054720).

Almost surely, 22023207568448 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 2023207568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952438128640).

2023207568448 is an abundant number, since it is smaller than the sum of its proper divisors (3881668688832).

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

2023207568448 is a wasteful number, since it uses less digits than its factorization.

2023207568448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 2023207568448 in words is "two trillion, twenty-three billion, two hundred seven million, five hundred sixty-eight thousand, four hundred forty-eight".