Search a number
-
+
10634215232 = 262346115671
BaseRepresentation
bin10011110011101100…
…10011111101000000
31000110010011002212102
421321312103331000
5133234324341412
64515120045532
7524345223644
oct117166237500
930403132772
1010634215232
114567812333
1220894638a8
131006205864
1472c494c24
154238d88c2
hex279d93f40

10634215232 has 56 divisors (see below), whose sum is σ = 22068934272. Its totient is φ = 5074572800.

The previous prime is 10634215219. The next prime is 10634215247. The reversal of 10634215232 is 23251243601.

It is a happy number.

It is a super-2 number, since 2×106342152322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10634215195 and 10634215204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670757 + ... + 686427.

It is an arithmetic number, because the mean of its divisors is an integer number (394088112).

Almost surely, 210634215232 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 10634215232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11034467136).

10634215232 is an abundant number, since it is smaller than the sum of its proper divisors (11434719040).

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

10634215232 is a wasteful number, since it uses less digits than its factorization.

10634215232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16167 (or 16157 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 10634215232 its reverse (23251243601), we get a palindrome (33885458833).

The spelling of 10634215232 in words is "ten billion, six hundred thirty-four million, two hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 461 736 922 1472 1844 3688 7376 10603 14752 15671 21206 29504 31342 42412 62684 84824 125368 169648 250736 339296 360433 501472 678592 720866 1002944 1441732 2883464 5766928 7224331 11533856 14448662 23067712 28897324 57794648 115589296 166159613 231178592 332319226 462357184 664638452 1329276904 2658553808 5317107616 10634215232