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8042248428500 = 22531113620318133
BaseRepresentation
bin111010100000111101101…
…0111000101101111010100
31001110211110010020221102102
41311001323113011233110
52023231011044203000
625034320302301232
71460014261510166
oct165017327055724
931424403227372
108042248428500
112620775638950
12a9a784887818
134644c4733090
141db3656d2936
15de2e60333d5
hex7507b5c5bd4

8042248428500 has 192 divisors, whose sum is σ = 20639412009216. Its totient is φ = 2698911936000.

The previous prime is 8042248428497. The next prime is 8042248428509. The reversal of 8042248428500 is 58248422408.

It is a super-2 number, since 2×80422484285002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042248428509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443505434 + ... + 443523566.

It is an arithmetic number, because the mean of its divisors is an integer number (107496937548).

Almost surely, 28042248428500 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 8042248428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319706004608).

8042248428500 is an abundant number, since it is smaller than the sum of its proper divisors (12597163580716).

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

8042248428500 is a wasteful number, since it uses less digits than its factorization.

8042248428500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24379 (or 24367 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 47.

It can be divided in two parts, 8042248 and 428500, that added together give a palindrome (8470748).

The spelling of 8042248428500 in words is "eight trillion, forty-two billion, two hundred forty-eight million, four hundred twenty-eight thousand, five hundred".