Search a number
-
+
10504326434724 = 2234233771896029
BaseRepresentation
bin1001100011011011101010…
…1001010100111110100100
31101012012111120101121210000
42120312322221110332210
52334100330031402344
634201342042501300
72132625000326163
oct230667251247644
941165446347700
1010504326434724
11338a950474a01
121217985804830
135b272771ca35
142845aab9b3da
151333957cca69
hex98dbaa54fa4

10504326434724 has 480 divisors, whose sum is σ = 30183567321600. Its totient is φ = 3176163809280.

The previous prime is 10504326434689. The next prime is 10504326434743. The reversal of 10504326434724 is 42743462340501.

10504326434724 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 43 + 264 + 347 + 2 + 4 = 666.

It is a super-2 number, since 2×105043264347242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10504326434724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1742296942 + ... + 1742302970.

It is an arithmetic number, because the mean of its divisors is an integer number (62882431920).

Almost surely, 210504326434724 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 10504326434724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091783660800).

10504326434724 is an abundant number, since it is smaller than the sum of its proper divisors (19679240886876).

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

10504326434724 is a wasteful number, since it uses less digits than its factorization.

10504326434724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 10504326434724 in words is "ten trillion, five hundred four billion, three hundred twenty-six million, four hundred thirty-four thousand, seven hundred twenty-four".