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9999084519792 = 243337397163907
BaseRepresentation
bin1001000110000001011111…
…1000011000000101110000
31022101220101101121001002000
42101200113320120011300
52302311111114113132
633133303243054000
72051260431032634
oct221402770300560
938356341531060
109999084519792
113205651599205
121155a81211300
13576ba95a1a64
14267d5b702dc4
151251748a987c
hex91817e18170

9999084519792 has 160 divisors (see below), whose sum is σ = 28808110805760. Its totient is φ = 3320617109760.

The previous prime is 9999084519791. The next prime is 9999084519793. The reversal of 9999084519792 is 2979154809999.

9999084519792 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 0 + 8 + 4 + 519 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (9999084519791) and next prime (9999084519793).

It is a super-2 number, since 2×99990845197922 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999084519791) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 156431103 + ... + 156495009.

It is an arithmetic number, because the mean of its divisors is an integer number (180050692536).

Almost surely, 29999084519792 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 9999084519792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404055402880).

9999084519792 is an abundant number, since it is smaller than the sum of its proper divisors (18809026285968).

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

9999084519792 is a wasteful number, since it uses less digits than its factorization.

9999084519792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65268 (or 65256 counting only the distinct ones).

The product of its (nonzero) digits is 1190427840, while the sum is 81.

The spelling of 9999084519792 in words is "nine trillion, nine hundred ninety-nine billion, eighty-four million, five hundred nineteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 373 432 746 971 1119 1492 1942 2238 2913 2984 3357 3884 4476 5826 5968 6714 7768 8739 8952 10071 11652 13428 15536 17478 17904 20142 23304 26217 26856 34956 40284 46608 52434 53712 63907 69912 80568 104868 127814 139824 161136 191721 209736 255628 362183 383442 419472 511256 575163 724366 766884 1022512 1086549 1150326 1448732 1533768 1725489 2173098 2300652 2897464 3067536 3259647 3450978 4346196 4601304 5794928 6519294 6901956 8692392 9202608 9778941 13038588 13803912 17384784 19557882 23837311 26077176 27607824 39115764 47674622 52154352 62053697 71511933 78231528 95349244 124107394 143023866 156463056 186161091 190698488 214535799 248214788 286047732 372322182 381396976 429071598 496429576 558483273 572095464 643607397 744644364 858143196 992859152 1116966546 1144190928 1287214794 1489288728 1675449819 1716286392 2233933092 2574429588 2978577456 3350899638 3432572784 4467866184 5148859176 6701799276 8935732368 10297718352 13403598552 23146028981 26807197104 46292057962 69438086943 92584115924 138876173886 185168231848 208314260829 277752347772 370336463696 416628521658 555504695544 624942782487 833257043316 1111009391088 1249885564974 1666514086632 2499771129948 3333028173264 4999542259896 9999084519792