Search a number
-
+
10308764544 = 273132119787
BaseRepresentation
bin10011001100111001…
…10100001110000000
3222121102202111110020
421212130310032000
5132103020431134
64422532333440
7513314024061
oct114634641600
928542674406
1010308764544
114410035421
121bb8474280
13c839666a0
146db178568
1540504db49
hex266734380

10308764544 has 128 divisors (see below), whose sum is σ = 29631799680. Its totient is φ = 3156572160.

The previous prime is 10308764533. The next prime is 10308764549. The reversal of 10308764544 is 44546780301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10308764496 and 10308764505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10308764549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048419 + ... + 1058205.

It is an arithmetic number, because the mean of its divisors is an integer number (231498435).

Almost surely, 210308764544 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 10308764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815899840).

10308764544 is an abundant number, since it is smaller than the sum of its proper divisors (19323035136).

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

10308764544 is a wasteful number, since it uses less digits than its factorization.

10308764544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10028 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 10308764544 in words is "ten billion, three hundred eight million, seven hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 211 312 384 416 422 624 633 832 844 1248 1266 1664 1688 2496 2532 2743 3376 4992 5064 5486 6752 8229 9787 10128 10972 13504 16458 19574 20256 21944 27008 29361 32916 39148 40512 43888 58722 65832 78296 81024 87776 117444 127231 131664 156592 175552 234888 254462 263328 313184 351104 381693 469776 508924 526656 626368 763386 939552 1017848 1053312 1252736 1526772 1879104 2035696 2065057 3053544 3758208 4071392 4130114 6107088 6195171 8142784 8260228 12214176 12390342 16285568 16520456 24428352 24780684 26845741 33040912 48856704 49561368 53691482 66081824 80537223 99122736 107382964 132163648 161074446 198245472 214765928 264327296 322148892 396490944 429531856 644297784 792981888 859063712 1288595568 1718127424 2577191136 3436254848 5154382272 10308764544