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7089808401 = 321321721272
BaseRepresentation
bin1101001101001010…
…11110010000010001
3200022002201120202100
412212211132100101
5104004442332101
63131303111013
7340456243224
oct64645362021
920262646670
107089808401
113009014a95
12145a442469
1388cabb900
144b38575bb
152b7658e86
hex1a695e411

7089808401 has 81 divisors (see below), whose sum is σ = 11873348721. Its totient is φ = 4073981184.

The previous prime is 7089808307. The next prime is 7089808403. The reversal of 7089808401 is 1048089807.

The square root of 7089808401 is 84201.

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 64016001 + 7025792400 = 8001^2 + 83820^2 .

It is not a de Polignac number, because 7089808401 - 29 = 7089807889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7089808403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55825200 + ... + 55825326.

Almost surely, 27089808401 is an apocalyptic number.

7089808401 is the 84201-st square number.

7089808401 is the 42101-st centered octagonal number.

It is an amenable number.

7089808401 is a deficient number, since it is larger than the sum of its proper divisors (4783540320).

7089808401 is a wasteful number, since it uses less digits than its factorization.

7089808401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The cubic root of 7089808401 is about 1921.0772673648.

The spelling of 7089808401 in words is "seven billion, eighty-nine million, eight hundred eight thousand, four hundred one".

Divisors: 1 3 9 13 17 39 51 117 127 153 169 221 289 381 507 663 867 1143 1521 1651 1989 2159 2601 2873 3757 4953 6477 8619 11271 14859 16129 19431 21463 25857 28067 33813 36703 48387 48841 64389 84201 110109 145161 146523 193167 209677 252603 274193 330327 364871 439569 477139 629031 822579 1094613 1431417 1887093 2467737 2725801 3283839 3564509 4294251 4661281 6202807 8177403 10693527 13983843 18608421 24532209 32080581 41951529 46338617 55825263 60596653 139015851 181789959 417047553 545369877 787756489 2363269467 7089808401