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9960760425 = 3527211793119
BaseRepresentation
bin10010100011011010…
…10010010001101001
3221201011221001112210
421101231102101221
5130344423313200
64324221355333
7501560031600
oct112155222151
927634831483
109960760425
114251653810
121b1ba08b49
13c2982baa5
146a6c6aa37
153d470b650
hex251b52469

9960760425 has 144 divisors (see below), whose sum is σ = 21170073600. Its totient is φ = 4085827200.

The previous prime is 9960760423. The next prime is 9960760463. The reversal of 9960760425 is 5240670699.

It is not a de Polignac number, because 9960760425 - 21 = 9960760423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9960760423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3192016 + ... + 3195134.

It is an arithmetic number, because the mean of its divisors is an integer number (147014400).

Almost surely, 29960760425 is an apocalyptic number.

It is an amenable number.

9960760425 is an abundant number, since it is smaller than the sum of its proper divisors (11209313175).

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

9960760425 is a wasteful number, since it uses less digits than its factorization.

9960760425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 9960760425 is about 99803.6092784224. The cubic root of 9960760425 is about 2151.6130260574.

The spelling of 9960760425 in words is "nine billion, nine hundred sixty million, seven hundred sixty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 79 105 147 165 175 231 237 245 275 385 395 525 539 553 735 825 869 1155 1185 1225 1617 1659 1925 1975 2607 2695 2765 3119 3675 3871 4345 5775 5925 6083 8085 8295 9357 11613 13035 13475 13825 15595 18249 19355 21725 21833 30415 34309 40425 41475 42581 46785 58065 65175 65499 77975 91245 96775 102927 109165 127743 152075 152831 171545 212905 233925 240163 246401 290325 327495 456225 458493 514635 545825 638715 720489 739203 764155 857725 1064525 1200815 1232005 1637475 1681141 1724807 2292465 2573175 2710411 3193575 3602445 3696015 3820775 5043423 5174421 6004075 6160025 8131233 8405705 8624035 11462325 12073649 13552055 18012225 18480075 18972877 25217115 25872105 36220947 40656165 42028525 43120175 56918631 60368245 67760275 94864385 126085575 129360525 132810139 181104735 203280825 284593155 301841225 398430417 474321925 664050695 905523675 1422965775 1992152085 3320253475 9960760425