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668051431425 = 325271731804857
BaseRepresentation
bin10011011100010101111…
…01111110000000000001
32100212100122121221210100
421232022331332000001
541421132131301200
61230522032353013
766156636321510
oct11561275760001
92325318557710
10668051431425
11238356687214
12a95810a5769
134acc64975b1
142449618c677
151259e379d00
hex9b8af7e001

668051431425 has 144 divisors (see below), whose sum is σ = 1494640622592. Its totient is φ = 278158233600.

The previous prime is 668051431303. The next prime is 668051431501. The reversal of 668051431425 is 524134150866.

668051431425 is a `hidden beast` number, since 6 + 6 + 80 + 5 + 143 + 1 + 425 = 666.

It is not a de Polignac number, because 668051431425 - 28 = 668051431169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 427597 + ... + 1232453.

It is an arithmetic number, because the mean of its divisors is an integer number (10379448768).

Almost surely, 2668051431425 is an apocalyptic number.

It is an amenable number.

668051431425 is an abundant number, since it is smaller than the sum of its proper divisors (826589191167).

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

668051431425 is a wasteful number, since it uses less digits than its factorization.

668051431425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804928 (or 804920 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 668051431425 in words is "six hundred sixty-eight billion, fifty-one million, four hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 31 35 45 51 63 75 85 93 105 119 153 155 175 217 225 255 279 315 357 425 465 525 527 595 651 765 775 1071 1085 1275 1395 1575 1581 1785 1953 2325 2635 2975 3255 3689 3825 4743 5355 5425 6975 7905 8925 9765 11067 13175 16275 18445 23715 26775 33201 39525 48825 55335 92225 118575 166005 276675 804857 830025 2414571 4024285 5633999 7243713 12072855 13682569 16901997 20121425 24950567 28169995 36218565 41047707 50705991 60364275 68412845 74851701 84509985 95777983 123143121 124752835 140849975 174653969 181092825 205238535 224555103 253529955 287333949 342064225 374258505 422549925 424159639 478889915 523961907 615715605 623764175 862001847 873269845 1026192675 1122775515 1267649775 1272478917 1436669745 1571885721 1871292525 2120798195 2394449575 2619809535 2969117473 3078578025 3817436751 4310009235 4366349225 5613877575 6362394585 7183348725 7859428605 8907352419 10603990975 13099047675 14845587365 19087183755 21550046175 26722057257 31811972925 39297143025 44536762095 74227936825 95435918775 133610286285 222683810475 668051431425