Search a number
-
+
10066906731 = 3723157113267
BaseRepresentation
bin10010110000000100…
…01100111001101011
3221222120122211220110
421120002030321223
5131104112003411
64342532425403
7504316203210
oct113002147153
927876584813
1010066906731
1142a6563032
121b4b478263
13c4581505b
146b6dbbb07
153ddbc72a6
hex25808ce6b

10066906731 has 32 divisors (see below), whose sum is σ = 16018403328. Its totient is φ = 5498491680.

The previous prime is 10066906699. The next prime is 10066906747. The reversal of 10066906731 is 13760966001.

It is not a de Polignac number, because 10066906731 - 25 = 10066906699 is a prime.

It is a super-2 number, since 2×100669067312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10066906731.

It is not an unprimeable number, because it can be changed into a prime (10066986731) 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, 752160 + ... + 765426.

It is an arithmetic number, because the mean of its divisors is an integer number (500575104).

Almost surely, 210066906731 is an apocalyptic number.

10066906731 is a deficient number, since it is larger than the sum of its proper divisors (5951496597).

10066906731 is a wasteful number, since it uses less digits than its factorization.

10066906731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14871.

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 10066906731 in words is "ten billion, sixty-six million, nine hundred six thousand, seven hundred thirty-one".

Divisors: 1 3 7 21 23 69 161 483 1571 4713 10997 13267 32991 36133 39801 92869 108399 252931 278607 305141 758793 915423 2135987 6407961 20842457 62527371 145897199 437691597 479376511 1438129533 3355635577 10066906731