Search a number
-
+
10283017388 = 2274753379389
BaseRepresentation
bin10011001001110101…
…00110010010101100
3222112122022101222212
421210322212102230
5132024423024023
64420212425552
7512552130350
oct114472462254
928478271885
1010283017388
1143a754a186
121bab9182b8
13c7b520397
146d7995460
15402b64e78
hex264ea64ac

10283017388 has 96 divisors (see below), whose sum is σ = 21511526400. Its totient is φ = 4209843456.

The previous prime is 10283017387. The next prime is 10283017391. The reversal of 10283017388 is 88371038201.

It is not an unprimeable number, because it can be changed into a prime (10283017387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26434298 + ... + 26434686.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 210283017388 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 10283017388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755763200).

10283017388 is an abundant number, since it is smaller than the sum of its proper divisors (11228509012).

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

10283017388 is a wasteful number, since it uses less digits than its factorization.

10283017388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 10283017388 in words is "ten billion, two hundred eighty-three million, seventeen thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 47 53 94 106 188 212 329 371 379 389 658 742 758 778 1316 1484 1516 1556 2491 2653 2723 4982 5306 5446 9964 10612 10892 17437 17813 18283 20087 20617 34874 35626 36566 40174 41234 69748 71252 73132 80348 82468 124691 127981 140609 144319 147431 249382 255962 281218 288638 294862 498764 511924 562436 577276 589724 944089 968999 1032017 1888178 1937998 2064034 3776356 3875996 4128068 6608623 6782993 6929257 7813843 13217246 13565986 13858514 15627686 26434492 27131972 27717028 31255372 48504799 54696901 97009598 109393802 194019196 218787604 367250621 734501242 1469002484 2570754347 5141508694 10283017388