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728896778961 = 31389266378857
BaseRepresentation
bin10101001101101011010…
…00100011001011010001
32120200102001212212100120
422212311220203023101
543420240033411321
61314503415340453
7103442512252341
oct12466550431321
92520361785316
10728896778961
1126113a2583aa
12b9322081729
13539720c4210
14273c9012d21
1513e60e10ec6
hexa9b5a232d1

728896778961 has 32 divisors (see below), whose sum is σ = 1058791668480. Its totient is φ = 443339787264.

The previous prime is 728896778899. The next prime is 728896779041. The reversal of 728896778961 is 169877698827.

It is not a de Polignac number, because 728896778961 - 27 = 728896778833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728896778861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9203845 + ... + 9282701.

It is an arithmetic number, because the mean of its divisors is an integer number (33087239640).

Almost surely, 2728896778961 is an apocalyptic number.

It is an amenable number.

728896778961 is a deficient number, since it is larger than the sum of its proper divisors (329894889519).

728896778961 is a wasteful number, since it uses less digits than its factorization.

728896778961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81625.

The product of its digits is 1024192512, while the sum is 78.

The spelling of 728896778961 in words is "seven hundred twenty-eight billion, eight hundred ninety-six million, seven hundred seventy-eight thousand, nine hundred sixty-one".

Divisors: 1 3 13 39 89 267 1157 2663 3471 7989 34619 78857 103857 236571 237007 711021 1025141 3075423 3081091 7018273 9243273 21054819 91237549 209996191 273712647 629988573 2729950483 8189851449 18689660999 56068982997 242965592987 728896778961