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79970881645125 = 3853112986369
BaseRepresentation
bin10010001011101110101011…
…111111100010101001000101
3101111011010211020112100000000
4102023232223333202221011
540440220331200121000
6442030041005111513
722562463666152412
oct2213565377425105
9344133736470000
1079970881645125
1123532507941149
128b76a86558599
1335812b6338133
1415a687b689109
1593a35d413000
hex48bbabfe2a45

79970881645125 has 144 divisors (see below), whose sum is σ = 149832212727600. Its totient is φ = 42612865689600.

The previous prime is 79970881645121. The next prime is 79970881645141. The reversal of 79970881645125 is 52154618807997.

It is a happy number.

79970881645125 is a `hidden beast` number, since 7 + 9 + 9 + 70 + 8 + 81 + 6 + 451 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52354616451201 + 27616265193924 = 7235649^2 + 5255118^2 .

It is not a de Polignac number, because 79970881645125 - 22 = 79970881645121 is a prime.

It is a super-2 number, since 2×799708816451252 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79970881645121) 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, 925877941 + ... + 925964309.

It is an arithmetic number, because the mean of its divisors is an integer number (1040501477275).

Almost surely, 279970881645125 is an apocalyptic number.

79970881645125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

79970881645125 is a deficient number, since it is larger than the sum of its proper divisors (69861331082475).

79970881645125 is an frugal number, since it uses more digits than its factorization.

79970881645125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87537 (or 87506 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 79970881645125 in words is "seventy-nine trillion, nine hundred seventy billion, eight hundred eighty-one million, six hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 675 729 1125 1129 1215 2025 2187 3375 3387 3645 5645 6075 6561 10125 10161 10935 16935 18225 28225 30375 30483 32805 50805 54675 84675 86369 91125 91449 141125 152415 164025 254025 259107 273375 274347 423375 431845 457245 762075 777321 820125 823041 1270125 1295535 1371735 2159225 2286225 2331963 2469123 3810375 3886605 4115205 6477675 6858675 6995889 7407369 10796125 11431125 11659815 12345615 19433025 20576025 20987667 32388375 34293375 34979445 37036845 58299075 61728075 62963001 97165125 97510601 102880125 104938335 174897225 185184225 188889003 291495375 292531803 308640375 314815005 487553005 524691675 566667009 874486125 877595409 925921125 944445015 1462659015 1574075025 2437765025 2623458375 2632786227 2833335045 4387977045 4722225075 7313295075 7870375125 7898358681 12188825125 13163931135 14166675225 21939885225 23611125375 23695076043 36566475375 39491793405 65819655675 70833376125 71085228129 109699426125 118475380215 197458967025 213255684387 329098278375 355426140645 592376901075 639767053161 987294835125 1066278421935 1777130703225 2961884505375 3198835265805 5331392109675 8885653516125 15994176329025 26656960548375 79970881645125