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9912919520 = 25573180629
BaseRepresentation
bin10010011101101101…
…10010010111100000
3221120211220111011102
421032312302113200
5130300201411040
64315352133532
7500436266000
oct111666622740
927524814142
109912919520
114227648179
121b079972a8
13c1c94b36a
146a0776000
153d040b515
hex24edb25e0

9912919520 has 96 divisors (see below), whose sum is σ = 27311256000. Its totient is φ = 3398696448.

The previous prime is 9912919483. The next prime is 9912919529. The reversal of 9912919520 is 259192199.

9912919520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9912919529) 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 15 ways as a sum of consecutive naturals, for example, 35435 + ... + 145194.

It is an arithmetic number, because the mean of its divisors is an integer number (284492250).

Almost surely, 29912919520 is an apocalyptic number.

It is an amenable number.

9912919520 is an abundant number, since it is smaller than the sum of its proper divisors (17398336480).

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

9912919520 is a wasteful number, since it uses less digits than its factorization.

9912919520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180665 (or 180643 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 47.

The square root of 9912919520 is about 99563.6455740749. The cubic root of 9912919520 is about 2148.1628091370.

The spelling of 9912919520 in words is "nine billion, nine hundred twelve million, nine hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2744 3430 3920 5488 6860 7840 10976 13720 27440 54880 180629 361258 722516 903145 1264403 1445032 1806290 2528806 2890064 3612580 5057612 5780128 6322015 7225160 8850821 10115224 12644030 14450320 17701642 20230448 25288060 28900640 35403284 40460896 44254105 50576120 61955747 70806568 88508210 101152240 123911494 141613136 177016420 202304480 247822988 283226272 309778735 354032840 495645976 619557470 708065680 991291952 1239114940 1416131360 1982583904 2478229880 4956459760 9912919520