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6429254938120 = 235759389180081
BaseRepresentation
bin101110110001110110101…
…1101001110111000001000
3211202122000211102202111201
41131203231131032320020
51320314103231004440
621401320422033544
71232332634200030
oct135435535167010
924678024382451
106429254938120
1120596a4890863
1287a0485788b4
133783788a72c1
1418326b4928c0
15b238dd8619a
hex5d8ed74ee08

6429254938120 has 64 divisors (see below), whose sum is σ = 16812579542400. Its totient is φ = 2166954685440.

The previous prime is 6429254938063. The next prime is 6429254938129. The reversal of 6429254938120 is 218394529246.

It is not an unprimeable number, because it can be changed into a prime (6429254938129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194573521 + ... + 194606560.

It is an arithmetic number, because the mean of its divisors is an integer number (262696555350).

Almost surely, 26429254938120 is an apocalyptic number.

It is an amenable number.

6429254938120 is an abundant number, since it is smaller than the sum of its proper divisors (10383324604280).

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

6429254938120 is a wasteful number, since it uses less digits than its factorization.

6429254938120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389180158 (or 389180154 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 6429254938120 in words is "six trillion, four hundred twenty-nine billion, two hundred fifty-four million, nine hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 826 1180 1652 2065 2360 3304 4130 8260 16520 389180081 778360162 1556720324 1945900405 2724260567 3113440648 3891800810 5448521134 7783601620 10897042268 13621302835 15567203240 21794084536 22961624779 27242605670 45923249558 54485211340 91846499116 108970422680 114808123895 160731373453 183692998232 229616247790 321462746906 459232495580 642925493812 803656867265 918464991160 1285850987624 1607313734530 3214627469060 6429254938120