Search a number
-
+
5230138992 = 243132679623
BaseRepresentation
bin1001101111011110…
…11001011001110000
3111111111102120220120
410313233121121300
541202403421432
62222552010240
7243415306431
oct46757313160
914444376816
105230138992
112244305921
12101b690980
13654739200
1437888b488
15209265c2c
hex137bd9670

5230138992 has 120 divisors (see below), whose sum is σ = 14850370944. Its totient is φ = 1585089792.

The previous prime is 5230138973. The next prime is 5230138999. The reversal of 5230138992 is 2998310325.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5230138999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538693 + ... + 548315.

Almost surely, 25230138992 is an apocalyptic number.

5230138992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5230138992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425185472).

5230138992 is an abundant number, since it is smaller than the sum of its proper divisors (9620231952).

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

5230138992 is a wasteful number, since it uses less digits than its factorization.

5230138992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 5230138992 is about 72319.6998887578. The cubic root of 5230138992 is about 1735.8188896268.

The spelling of 5230138992 in words is "five billion, two hundred thirty million, one hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 169 201 208 268 312 338 402 507 536 624 676 804 871 1014 1072 1352 1608 1742 2028 2613 2704 3216 3484 4056 5226 6968 8112 9623 10452 11323 13936 19246 20904 22646 28869 33969 38492 41808 45292 57738 67938 76984 90584 115476 125099 135876 153968 181168 230952 250198 271752 375297 461904 500396 543504 644741 750594 1000792 1289482 1501188 1626287 1934223 2001584 2578964 3002376 3252574 3868446 4878861 5157928 6004752 6505148 7736892 8381633 9757722 10315856 13010296 15473784 16763266 19515444 25144899 26020592 30947568 33526532 39030888 50289798 67053064 78061776 100579596 108961229 134106128 201159192 217922458 326883687 402318384 435844916 653767374 871689832 1307534748 1743379664 2615069496 5230138992