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9999953243874 = 23311199227372677
BaseRepresentation
bin1001000110000100101110…
…1010010010111011100010
31022101222121221020210111000
42101201023222102323202
52302314401012300444
633133525354532430
72051321110050126
oct221411352227342
938358557223430
109999953243874
113205a579a94a0
121156084137116
13576cb7567789
14268000c3b586
151251c5ca9469
hex9184ba92ee2

9999953243874 has 128 divisors (see below), whose sum is σ = 24471528192000. Its totient is φ = 3001771016640.

The previous prime is 9999953243821. The next prime is 9999953243887. The reversal of 9999953243874 is 4783423599999.

9999953243874 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 9 + 532 + 4 + 3 + 8 + 74 = 666.

It is a super-2 number, since 2×99999532438742 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9999953243793 and 9999953243802.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26646424 + ... + 27019100.

It is an arithmetic number, because the mean of its divisors is an integer number (191183814000).

Almost surely, 29999953243874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999953243874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235764096000).

9999953243874 is an abundant number, since it is smaller than the sum of its proper divisors (14471574948126).

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

9999953243874 is a wasteful number, since it uses less digits than its factorization.

9999953243874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373125 (or 373119 counting only the distinct ones).

The product of its digits is 4761711360, while the sum is 81.

The spelling of 9999953243874 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred fifty-three million, two hundred forty-three thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 199 227 297 398 454 594 597 681 1194 1362 1791 2043 2189 2497 3582 4086 4378 4994 5373 6129 6567 7491 10746 12258 13134 14982 19701 22473 39402 44946 45173 59103 67419 90346 118206 134838 135519 271038 372677 406557 496903 745354 813114 993806 1118031 1219671 1490709 2236062 2439342 2981418 3354093 4099447 4472127 6708186 8198894 8944254 10062279 12298341 13416381 20124558 24596682 26832762 36895023 73790046 74162723 84597679 110685069 148325446 169195358 221370138 222488169 253793037 444976338 507586074 667464507 761379111 815789953 930574469 1334929014 1522758222 1631579906 1861148938 2002393521 2284137333 2447369859 2791723407 4004787042 4568274666 4894739718 5583446814 7342109577 8375170221 14684219154 16750340442 16834938121 22026328731 25125510663 33669876242 44052657462 50251021326 50504814363 101009628726 151514443089 185184319331 303028886178 370368638662 454543329267 555552957993 909086658534 1111105915986 1666658873979 3333317747958 4999976621937 9999953243874