Search a number
-
+
10490432589 = 32721319193499
BaseRepresentation
bin10011100010100011…
…10100110001001101
31000002002121012011100
421301101310301031
5132441022320324
64452542213313
7520651130400
oct116121646115
930062535140
1010490432589
1144a36372aa
122049284239
13cb24a2880
14717347d37
15415e864c9
hex271474c4d

10490432589 has 144 divisors (see below), whose sum is σ = 20125560000. Its totient is φ = 5204570112.

The previous prime is 10490432531. The next prime is 10490432597. The reversal of 10490432589 is 98523409401.

It is not a de Polignac number, because 10490432589 - 27 = 10490432461 is a prime.

It is a super-2 number, since 2×104904325892 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490432599) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21022662 + ... + 21023160.

Almost surely, 210490432589 is an apocalyptic number.

10490432589 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10490432589 is a deficient number, since it is larger than the sum of its proper divisors (9635127411).

10490432589 is a wasteful number, since it uses less digits than its factorization.

10490432589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10490432589 in words is "ten billion, four hundred ninety million, four hundred thirty-two thousand, five hundred eighty-nine".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 91 117 133 147 171 193 247 273 399 441 499 579 637 741 819 931 1197 1351 1497 1729 1737 1911 2223 2509 2793 3493 3667 4053 4491 5187 5733 6487 7527 8379 9457 9481 10479 11001 12103 12159 15561 17563 19461 22581 24451 25669 28371 28443 31437 33003 36309 45409 47671 52689 58383 66367 73353 77007 85113 85329 96307 108927 122941 123253 136227 143013 158067 179683 199101 220059 231021 288921 317863 333697 368823 369759 408681 429039 464569 539049 597303 674149 862771 866763 953589 1001091 1106469 1109277 1251991 1393707 1617147 1829833 2022447 2335879 2588313 2860767 3003273 3755973 4181121 4719043 5489499 6039397 6067341 7007637 7764939 8763937 11267919 12808831 14157129 16468497 18118191 21022911 23787829 26291811 38426493 42471387 54354573 61347559 71363487 78875433 89661817 115279479 166514803 184042677 214090461 268985451 499544409 552128031 806956353 1165603621 1498633227 3496810863 10490432589