Search a number
-
+
10146423433848 = 233131922924373067
BaseRepresentation
bin1001001110100110010111…
…1101101110101001111000
31022220222200200202101021220
42103221211331232221320
52312214333344340343
633325111431232040
72065024555114062
oct223514575565170
938828620671256
1010146423433848
11326208a56a079
12117a540818620
13587a5a740c40
142711378b0732
15128de9a3e183
hex93a65f6ea78

10146423433848 has 256 divisors, whose sum is σ = 28901885376000. Its totient is φ = 2942578243584.

The previous prime is 10146423433837. The next prime is 10146423433877. The reversal of 10146423433848 is 84833432464101.

It is a self number, because there is not a number n which added to its sum of digits gives 10146423433848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3308255211 + ... + 3308258277.

It is an arithmetic number, because the mean of its divisors is an integer number (112897989750).

Almost surely, 210146423433848 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 10146423433848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450942688000).

10146423433848 is an abundant number, since it is smaller than the sum of its proper divisors (18755461942152).

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

10146423433848 is a wasteful number, since it uses less digits than its factorization.

10146423433848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

Adding to 10146423433848 its reverse (84833432464101), we get a palindrome (94979855897949).

The spelling of 10146423433848 in words is "ten trillion, one hundred forty-six billion, four hundred twenty-three million, four hundred thirty-three thousand, eight hundred forty-eight".