Search a number
-
+
729527069414 = 211213377979333
BaseRepresentation
bin10101001110110110011…
…00111010101011100110
32120202000222212221022102
422213123030322223212
543423032412210124
61315050132532102
7103464234530003
oct12473314725346
92522028787272
10729527069414
11261433014a00
12b9479181032
1353a42867050
1427448a028aa
1513e9b413aae
hexa9db33aae6

729527069414 has 96 divisors (see below), whose sum is σ = 1347205560960. Its totient is φ = 294048817920.

The previous prime is 729527069309. The next prime is 729527069417. The reversal of 729527069414 is 414960725927.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 729527069414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729527069417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9156092 + ... + 9235424.

It is an arithmetic number, because the mean of its divisors is an integer number (14033391260).

Almost surely, 2729527069414 is an apocalyptic number.

729527069414 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

729527069414 is a deficient number, since it is larger than the sum of its proper divisors (617678491546).

729527069414 is a wasteful number, since it uses less digits than its factorization.

729527069414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79486 (or 79475 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 729527069414 in words is "seven hundred twenty-nine billion, five hundred twenty-seven million, sixty-nine thousand, four hundred fourteen".

Divisors: 1 2 11 13 22 26 37 74 79 121 143 158 242 286 407 481 814 869 962 1027 1573 1738 2054 2923 3146 4477 5291 5846 8954 9559 10582 11297 19118 22594 32153 37999 58201 64306 75998 79333 116402 124267 158666 248534 353683 417989 707366 835978 872663 1031329 1745326 2062658 2935321 4597879 5870642 6267307 9195758 9599293 11344619 12534614 19198586 22689238 32288531 38159173 64577062 68940377 76318346 81474991 124790809 137880754 162949982 231890359 249581618 355173841 419750903 463780718 710347682 758344147 839501806 896224901 1516688294 1792449802 2550793949 3014574667 4617259933 5101587898 6029149334 9234519866 9858473911 19716947822 28058733439 33160321337 56117466878 66320642674 364763534707 729527069414