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8973240705 = 32511134729669
BaseRepresentation
bin10000101101101100…
…01100100110000001
3212011100201212011100
420112312030212001
5121334122200310
64042223405013
7435236200422
oct102666144601
925140655140
108973240705
113895184610
1218a5153769
13b000713b0
14611a4b649
15377b92ec0
hex216d8c981

8973240705 has 96 divisors (see below), whose sum is σ = 18662192640. Its totient is φ = 3930416640.

The previous prime is 8973240673. The next prime is 8973240707. The reversal of 8973240705 is 5070423798.

It is not a de Polignac number, because 8973240705 - 25 = 8973240673 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (8973240707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287611 + ... + 317279.

It is an arithmetic number, because the mean of its divisors is an integer number (194397840).

Almost surely, 28973240705 is an apocalyptic number.

It is an amenable number.

8973240705 is an abundant number, since it is smaller than the sum of its proper divisors (9688951935).

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

8973240705 is a wasteful number, since it uses less digits than its factorization.

8973240705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29751 (or 29748 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 8973240705 is about 94727.1909485339. The cubic root of 8973240705 is about 2078.0202366333.

The spelling of 8973240705 in words is "eight billion, nine hundred seventy-three million, two hundred forty thousand, seven hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 47 55 65 99 117 141 143 165 195 235 423 429 495 517 585 611 705 715 1287 1551 1833 2115 2145 2585 3055 4653 5499 6435 6721 7755 9165 20163 23265 27495 29669 33605 60489 89007 100815 148345 267021 302445 326359 385697 445035 979077 1157091 1335105 1394443 1631795 1928485 2937231 3471273 4183329 4242667 4895385 5785455 6972215 12549987 12728001 14686155 15338873 17356365 18127759 20916645 21213335 38184003 46016619 54383277 62749935 63640005 76694365 90638795 138049857 163149831 190920015 199405349 230083095 271916385 598216047 690249285 815749155 997026745 1794648141 2991080235 8973240705