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79840747683225 = 325283271772
BaseRepresentation
bin10010001001110101011111…
…011001110111110110011001
3101110200200220222112010012100
4102021311133121313312121
540431102322401330400
6441450155542434013
722550206104553524
oct2211653731676631
9343620828463170
1079840747683225
11234922a8694501
128b55808a32909
133571c4778b709
1415a04544abbbb
15936c9393c100
hex489d5f677d99

79840747683225 has 81 divisors (see below), whose sum is σ = 144767515134333. Its totient is φ = 42062837581440.

The previous prime is 79840747683199. The next prime is 79840747683289. The reversal of 79840747683225 is 52238674704897.

The square root of 79840747683225 is 8935365.

It is a perfect power (a square), and thus also a powerful number.

79840747683225 is a `hidden beast` number, since 7 + 98 + 40 + 7 + 476 + 8 + 3 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11154511186569 + 68686236496656 = 3339837^2 + 8287716^2 .

It is not a de Polignac number, because 79840747683225 - 27 = 79840747683097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11124525837 + ... + 11124533013.

Almost surely, 279840747683225 is an apocalyptic number.

79840747683225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

79840747683225 is the 8935365-th square number.

79840747683225 is the 4467683-rd centered octagonal number.

It is an amenable number.

79840747683225 is a deficient number, since it is larger than the sum of its proper divisors (64926767451108).

79840747683225 is an frugal number, since it uses more digits than its factorization.

79840747683225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14536 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 79840747683225 in words is "seventy-nine trillion, eight hundred forty billion, seven hundred forty-seven million, six hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 83 225 249 415 747 1245 2075 3735 6225 6889 7177 18675 20667 21531 34445 35885 62001 64593 103335 107655 172225 179425 310005 322965 516675 538275 595691 1550025 1614825 1787073 2978455 5361219 8935365 14892275 26806095 44676825 49442353 51509329 134030475 148327059 154527987 247211765 257546645 444981177 463583961 741635295 772639935 1236058825 1287733225 2224905885 2317919805 3708176475 3863199675 4275274307 11124529425 11589599025 12825822921 21376371535 38477468763 64129114605 106881857675 192387343815 320645573025 354847767481 961936719075 1064543302443 1774238837405 3193629907329 5322716512215 8871194187025 15968149536645 26613582561075 79840747683225