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9903480320 = 29583127367
BaseRepresentation
bin10010011100100101…
…10001111000000000
3221120012010221000102
421032102301320000
5130240242332240
64314413541532
7500263123316
oct111622617000
927505127012
109903480320
114222290388
121b047a48a8
13c1a9c4b36
1469d3da0b6
153ce694815
hex24e4b1e00

9903480320 has 160 divisors (see below), whose sum is σ = 24286445568. Its totient is φ = 3872268288.

The previous prime is 9903480319. The next prime is 9903480343. The reversal of 9903480320 is 230843099.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26984777 + ... + 26985143.

Almost surely, 29903480320 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 9903480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143222784).

9903480320 is an abundant number, since it is smaller than the sum of its proper divisors (14382965248).

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

9903480320 is a wasteful number, since it uses less digits than its factorization.

9903480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 9903480320 is about 99516.2314399013. The cubic root of 9903480320 is about 2147.4807572035.

The spelling of 9903480320 in words is "nine billion, nine hundred three million, four hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 127 128 160 166 254 256 320 332 367 415 508 512 635 640 664 734 830 1016 1270 1280 1328 1468 1660 1835 2032 2540 2560 2656 2936 3320 3670 4064 5080 5312 5872 6640 7340 8128 10160 10541 10624 11744 13280 14680 16256 20320 21082 21248 23488 26560 29360 30461 32512 40640 42164 42496 46609 46976 52705 53120 58720 60922 65024 81280 84328 93218 93952 105410 106240 117440 121844 152305 162560 168656 186436 187904 210820 212480 233045 234880 243688 304610 325120 337312 372872 421640 466090 469760 487376 609220 674624 745744 843280 932180 939520 974752 1218440 1349248 1491488 1686560 1864360 1949504 2436880 2698496 2982976 3373120 3728720 3868547 3899008 4873760 5396992 5965952 6746240 7457440 7737094 7798016 9747520 11931904 13492480 14914880 15474188 15596032 19342735 19495040 23863808 26984960 29829760 30948376 38685470 38990080 59659520 61896752 77370940 77980160 119319040 123793504 154741880 247587008 309483760 495174016 618967520 990348032 1237935040 1980696064 2475870080 4951740160 9903480320