Search a number
-
+
10420747029 = 3271159281907
BaseRepresentation
bin10011011010001111…
…11111101100010101
3222220020110210112200
421231013333230111
5132320202401104
64442012435113
7516143613450
oct115507775425
928806423480
1010420747029
114468270530
122029a78a99
13ca0c14204
1470bda8497
1540ecbdb39
hex26d1ffb15

10420747029 has 96 divisors (see below), whose sum is σ = 19173473280. Its totient is φ = 5296838400.

The previous prime is 10420746967. The next prime is 10420747031. The reversal of 10420747029 is 92074702401.

It is not a de Polignac number, because 10420747029 - 27 = 10420746901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10420746984 and 10420747002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420747529) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11488794 + ... + 11489700.

It is an arithmetic number, because the mean of its divisors is an integer number (199723680).

Almost surely, 210420747029 is an apocalyptic number.

It is an amenable number.

10420747029 is a deficient number, since it is larger than the sum of its proper divisors (8752726251).

10420747029 is a wasteful number, since it uses less digits than its factorization.

10420747029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10420747029 in words is "ten billion, four hundred twenty million, seven hundred forty-seven thousand, twenty-nine".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 281 413 531 649 693 843 907 1239 1947 1967 2529 2721 3091 3717 4543 5841 5901 6349 8163 9273 9977 13629 16579 17703 19047 21637 27819 29931 40887 49737 53513 57141 64911 69839 89793 116053 149211 160539 182369 194733 209517 254867 348159 374591 481617 547107 588643 628551 764601 1044477 1123773 1276583 1641321 1765929 1784069 2293803 2803537 3371319 3829749 4120501 5297787 5352207 8410611 11489247 12361503 15037153 16056621 19624759 25231833 37084509 45111459 58874277 105260071 135334377 165408683 176622831 315780213 496226049 947340639 1157860781 1488678147 3473582343 10420747029