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5798006489025 = 34527327332
BaseRepresentation
bin101010001011111010000…
…0111011111111111000001
3202112021200001010000110000
41110113310013133333001
51224443304130122100
620155322321030213
71135615001666622
oct124276407377701
922467601100400
105798006489025
111935a14566a23
12797838785369
1333099902903a
141608a7061a49
15a0c459d3900
hex545f41dffc1

5798006489025 has 135 divisors (see below), whose sum is σ = 10903925447019. Its totient is φ = 3045749402880.

The previous prime is 5798006488949. The next prime is 5798006489057. The reversal of 5798006489025 is 5209846008975.

The square root of 5798006489025 is 2407905.

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

5798006489025 is a `hidden beast` number, since 5 + 79 + 80 + 0 + 6 + 489 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 280881980289 + 5517124508736 = 529983^2 + 2348856^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5798006489025 - 229 = 5797469618113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7909967559 + ... + 7909968291.

Almost surely, 25798006489025 is an apocalyptic number.

5798006489025 is the 2407905-th square number.

5798006489025 is the 1203953-rd centered octagonal number.

It is an amenable number.

5798006489025 is a deficient number, since it is larger than the sum of its proper divisors (5105918957994).

5798006489025 is an frugal number, since it uses more digits than its factorization.

5798006489025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 5798006489025 in words is "five trillion, seven hundred ninety-eight billion, six million, four hundred eighty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 73 75 81 135 219 225 365 405 657 675 733 1095 1825 1971 2025 2199 3285 3665 5329 5475 5913 6597 9855 10995 15987 16425 18325 19791 26645 29565 32985 47961 49275 53509 54975 59373 79935 98955 133225 143883 147825 160527 164925 239805 267545 296865 399675 431649 481581 494775 537289 719415 802635 1199025 1337725 1444743 1484325 1611867 2158245 2407905 2686445 3597075 3906157 4013175 4334229 4835601 7223715 8059335 10791225 11718471 12039525 13432225 14506803 19530785 21671145 24178005 35155413 36118575 39222097 40296675 43520409 58592355 72534015 97653925 105466239 108355725 117666291 120890025 175777065 196110485 217602045 292961775 316398717 352998873 362670075 527331195 588331455 878885325 980552425 1058996619 1088010225 1581993585 1764994365 2636655975 2863213081 2941657275 3176989857 5294983095 7909967925 8589639243 8824971825 14316065405 15884949285 25768917729 26474915475 42948196215 71580327025 77306753187 79424746425 128844588645 214740981075 231920259561 386533765935 644222943225 1159601297805 1932668829675 5798006489025