Search a number
-
+
20024706253104 = 24337291631400873
BaseRepresentation
bin1001000110110010111011…
…00000001100000100110000
32121220100021012122012111000
410203121131200030010300
510111041044300044404
6110331120102522000
74134510613506210
oct443313540140460
977810235565430
1020024706253104
116420480700733
1222b4b09736300
13b234249cb707
144d32b55bc240
1524ad4dd82339
hex12365d80c130

20024706253104 has 320 divisors, whose sum is σ = 68371616793600. Its totient is φ = 5490163058688.

The previous prime is 20024706253031. The next prime is 20024706253117. The reversal of 20024706253104 is 40135260742002.

20024706253104 is a `hidden beast` number, since 2 + 0 + 0 + 24 + 7 + 0 + 625 + 3 + 1 + 0 + 4 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13594012 + ... + 14994884.

It is an arithmetic number, because the mean of its divisors is an integer number (213661302480).

Almost surely, 220024706253104 is an apocalyptic number.

20024706253104 is a gapful number since it is divisible by the number (24) 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 20024706253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34185808396800).

20024706253104 is an abundant number, since it is smaller than the sum of its proper divisors (48346910540496).

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

20024706253104 is a wasteful number, since it uses less digits than its factorization.

20024706253104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401089 (or 1401077 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 20024706253104 its reverse (40135260742002), we get a palindrome (60159966995106).

The spelling of 20024706253104 in words is "twenty trillion, twenty-four billion, seven hundred six million, two hundred fifty-three thousand, one hundred four".