Search a number
-
+
1002374665968 = 2431323130753437
BaseRepresentation
bin11101001011000100010…
…11111001011011110000
310112211022012202221210110
432211202023321123300
5112410330403302333
62044252355501320
7132263531036304
oct16454213713360
93484265687713
101002374665968
11357117404655
121423252b7840
13736a6254230
143672d98dd04
151b119e86063
hexe9622f96f0

1002374665968 has 160 divisors (see below), whose sum is σ = 2912184608256. Its totient is φ = 294782045184.

The previous prime is 1002374665921. The next prime is 1002374665979. The reversal of 1002374665968 is 8695664732001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18731346 + ... + 18784782.

It is a 1-persistent number, because it is pandigital, but 2⋅1002374665968 = 2004749331936 is not.

Almost surely, 21002374665968 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 1002374665968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456092304128).

1002374665968 is an abundant number, since it is smaller than the sum of its proper divisors (1909809942288).

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

1002374665968 is a wasteful number, since it uses less digits than its factorization.

1002374665968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54791 (or 54785 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 1002374665968 in words is "one trillion, two billion, three hundred seventy-four million, six hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1307 1794 2392 2614 3588 3921 4784 5228 7176 7842 10456 14352 15684 16991 20912 30061 31368 33982 50973 53437 60122 62736 67964 90183 101946 106874 120244 135928 160311 180366 203892 213748 240488 271856 320622 360732 390793 407784 427496 480976 641244 694681 721464 781586 815568 854992 1172379 1229051 1282488 1389362 1442928 1563172 2084043 2344758 2458102 2564976 2778724 3126344 3687153 4168086 4689516 4916204 5557448 6252688 7374306 8336172 9379032 9832408 11114896 14748612 15977663 16672344 18758064 19664816 29497224 31955326 33344688 47932989 58994448 63910652 69842159 95865978 127821304 139684318 191731956 209526477 255642608 279368636 383463912 419052954 558737272 766927824 838105908 907948067 1117474544 1606369657 1676211816 1815896134 2723844201 3212739314 3352423632 3631792268 4819108971 5447688402 6425478628 7263584536 9638217942 10895376804 12850957256 14527169072 19276435884 20882805541 21790753608 25701914512 38552871768 41765611082 43581507216 62648416623 77105743536 83531222164 125296833246 167062444328 250593666492 334124888656 501187332984 1002374665968