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9989609742 = 2337211251499
BaseRepresentation
bin10010100110110110…
…10101100100001110
3221210012012202101000
421103123111210032
5130424320002432
64331132001130
7502360165440
oct112333254416
927705182330
109989609742
114266968722
121b296001a6
13c327c00a8
146aaa1a490
153d700957c
hex2536d590e

9989609742 has 128 divisors (see below), whose sum is σ = 25643520000. Its totient is φ = 2823660000.

The previous prime is 9989609723. The next prime is 9989609771. The reversal of 9989609742 is 2479069899.

9989609742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99896097422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9989609742.

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, 20019009 + ... + 20019507.

It is an arithmetic number, because the mean of its divisors is an integer number (200340000).

Almost surely, 29989609742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9989609742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760000).

9989609742 is an abundant number, since it is smaller than the sum of its proper divisors (15653910258).

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

9989609742 is a wasteful number, since it uses less digits than its factorization.

9989609742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 9989609742 is about 99948.0352083021. The cubic root of 9989609742 is about 2153.6882603765.

The spelling of 9989609742 in words is "nine billion, nine hundred eighty-nine million, six hundred nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 211 251 378 422 499 502 633 753 998 1266 1477 1497 1506 1757 1899 2259 2954 2994 3493 3514 3798 4431 4491 4518 5271 5697 6777 6986 8862 8982 10479 10542 11394 13293 13473 13554 15813 20958 26586 26946 31437 31626 39879 47439 52961 62874 79758 94311 94878 105289 105922 125249 158883 188622 210578 250498 315867 317766 370727 375747 476649 631734 737023 741454 751494 876743 947601 953298 1112181 1127241 1429947 1474046 1753486 1895202 2211069 2224362 2254482 2630229 2842803 2859894 3336543 3381723 4422138 5260458 5685606 6633207 6673086 6763446 7890687 10009629 13266414 15781374 19899621 20019258 23672061 26427539 39799242 47344122 52855078 79282617 158565234 184992773 237847851 369985546 475695702 554978319 713543553 1109956638 1427087106 1664934957 3329869914 4994804871 9989609742