Search a number
-
+
4253504053524 = 223111910742137649
BaseRepresentation
bin111101111001011000100…
…110010010000100010100
3120001122001000021220211120
4331321120212102010110
51024142134014203044
613014011025403540
7616206536624265
oct75713046220424
916048030256746
104253504053524
11139a9a0171120
12588435a995b0
1324b146b12c7b
14109c2928696c
157599b732519
hex3de58992114

4253504053524 has 192 divisors, whose sum is σ = 11531092608000. Its totient is φ = 1206784051200.

The previous prime is 4253504053523. The next prime is 4253504053531.

4253504053524 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253504053523) 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 63 ways as a sum of consecutive naturals, for example, 112959052 + ... + 112996700.

It is an arithmetic number, because the mean of its divisors is an integer number (60057774000).

Almost surely, 24253504053524 is an apocalyptic number.

4253504053524 is a gapful number since it is divisible by the number (44) 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 4253504053524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765546304000).

4253504053524 is an abundant number, since it is smaller than the sum of its proper divisors (7277588554476).

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

4253504053524 is a wasteful number, since it uses less digits than its factorization.

4253504053524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38214 (or 38212 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 4253504053524 in words is "four trillion, two hundred fifty-three billion, five hundred four million, fifty-three thousand, five hundred twenty-four".