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7030309069729 = 11417212892
BaseRepresentation
bin110011001001101111100…
…0100110010001110100001
3220220002110022211020201101
41212103133010302032201
51410141033110212404
622541402430034401
71323631420052041
oct146233704621641
926802408736641
107030309069729
1122705a0210000
12956630348a01
133bcc55a4580a
141a43a9735721
15c2d1b5292a4
hex664df1323a1

7030309069729 has 45 divisors (see below), whose sum is σ = 8221328344585. Its totient is φ = 6010571114240.

The previous prime is 7030309069727. The next prime is 7030309069741. The reversal of 7030309069729 is 9279609030307.

The square root of 7030309069729 is 2651473.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2449647568225 + 4580661501504 = 1565135^2 + 2140248^2 .

It is not a de Polignac number, because 7030309069729 - 21 = 7030309069727 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7030309069729.

It is not an unprimeable number, because it can be changed into a prime (7030309069727) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5454079317 + ... + 5454080605.

Almost surely, 27030309069729 is an apocalyptic number.

7030309069729 is the 2651473-rd square number.

7030309069729 is the 1325737-th centered octagonal number.

It is an amenable number.

7030309069729 is a deficient number, since it is larger than the sum of its proper divisors (1191019274856).

7030309069729 is an frugal number, since it uses more digits than its factorization.

7030309069729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 55.

The spelling of 7030309069729 in words is "seven trillion, thirty billion, three hundred nine million, sixty-nine thousand, seven hundred twenty-nine".

Divisors: 1 11 17 121 187 289 1289 1331 2057 3179 14179 14641 21913 22627 34969 155969 241043 248897 372521 384659 1661521 1715659 2651473 4097731 4231249 18276731 18872249 28245857 29166203 45075041 201044041 310704427 320828233 480179569 495825451 2211484451 3417748697 5281975259 5454079961 24326328961 37595235667 58101727849 413547592337 639119006339 7030309069729