Search a number
-
+
10330051344 = 243596159797
BaseRepresentation
bin10011001111011100…
…00001001100010000
3222122220210222110020
421213232001030100
5132123443120334
64425012503440
7513662662524
oct114756011420
928586728406
1010330051344
114421054518
12200361ab80
13c881aa722
146ddd19d84
15406d55e49
hex267b81310

10330051344 has 80 divisors (see below), whose sum is σ = 27583621440. Its totient is φ = 3329441280.

The previous prime is 10330051327. The next prime is 10330051427. The reversal of 10330051344 is 44315003301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142854 + ... + 202650.

It is an arithmetic number, because the mean of its divisors is an integer number (344795268).

Almost surely, 210330051344 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 10330051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791810720).

10330051344 is an abundant number, since it is smaller than the sum of its proper divisors (17253570096).

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

10330051344 is a wasteful number, since it uses less digits than its factorization.

10330051344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59928 (or 59922 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10330051344 its reverse (44315003301), we get a palindrome (54645054645).

The spelling of 10330051344 in words is "ten billion, three hundred thirty million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 61 118 122 177 183 236 244 354 366 472 488 708 732 944 976 1416 1464 2832 2928 3599 7198 10797 14396 21594 28792 43188 57584 59797 86376 119594 172752 179391 239188 358782 478376 717564 956752 1435128 2870256 3528023 3647617 7056046 7295234 10584069 10942851 14112092 14590468 21168138 21885702 28224184 29180936 42336276 43771404 56448368 58361872 84672552 87542808 169345104 175085616 215209403 430418806 645628209 860837612 1291256418 1721675224 2582512836 3443350448 5165025672 10330051344