Search a number
-
+
31158530766 = 23311677111027
BaseRepresentation
bin11101000001001100…
…010111001011001110
32222102111021100211000
4131001030113023032
51002303040441031
622151455241130
72152065066366
oct350114271316
988374240730
1031158530766
111223a1a6380
126056b191a6
132c273ca06c
1417182619a6
15c256c23e6
hex7413172ce

31158530766 has 128 divisors (see below), whose sum is σ = 77750046720. Its totient is φ = 9169221600.

The previous prime is 31158530729. The next prime is 31158530773. The reversal of 31158530766 is 66703585113.

31158530766 is a `hidden beast` number, since 3 + 1 + 1 + 58 + 530 + 7 + 66 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2820145 + ... + 2831171.

It is an arithmetic number, because the mean of its divisors is an integer number (607422240).

Almost surely, 231158530766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31158530766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38875023360).

31158530766 is an abundant number, since it is smaller than the sum of its proper divisors (46591515954).

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

31158530766 is a wasteful number, since it uses less digits than its factorization.

31158530766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11187 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 31158530766 in words is "thirty-one billion, one hundred fifty-eight million, five hundred thirty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 71 99 134 142 198 201 213 297 402 426 594 603 639 737 781 1206 1278 1474 1562 1809 1917 2211 2343 3618 3834 4422 4686 4757 6633 7029 9514 11027 13266 14058 14271 19899 21087 22054 28542 33081 39798 42174 42813 52327 66162 85626 99243 104654 121297 128439 156981 198486 242594 256878 297729 313962 363891 470943 595458 727782 738809 782917 941886 1091673 1412829 1477618 1565834 2183346 2216427 2348751 2825658 3275019 4432854 4697502 6550038 6649281 7046253 8126899 8612087 13298562 14092506 16253798 17224174 19947843 21138759 24380697 25836261 39895686 42277518 48761394 51672522 52455439 73142091 77508783 104910878 146284182 155017566 157366317 219426273 232526349 314732634 438852546 465052698 472098951 577009829 944197902 1154019658 1416296853 1731029487 2832593706 3462058974 5193088461 10386176922 15579265383 31158530766