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878465680225 = 52726124392
BaseRepresentation
bin11001100100010001010…
…00101000001101100001
310002222110210011021221021
430302020220220031201
5103343044203231400
61511321144125441
7120316125036100
oct14621050501541
93088423137837
10878465680225
11309611a7a701
12122304466881
1364aba263c63
1430737426037
1517cb6c3771a
hexcc88a28361

878465680225 has 81 divisors (see below), whose sum is σ = 1291196487321. Its totient is φ = 591151780800.

The previous prime is 878465680217. The next prime is 878465680229. The reversal of 878465680225 is 522086564878.

The square root of 878465680225 is 937265.

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 404637204321 + 473828475904 = 636111^2 + 688352^2 .

It is not a de Polignac number, because 878465680225 - 23 = 878465680217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (878465680229) 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, 2001060556 + ... + 2001060994.

Almost surely, 2878465680225 is an apocalyptic number.

878465680225 is the 937265-th square number.

878465680225 is the 468633-rd centered octagonal number.

It is an amenable number.

878465680225 is a deficient number, since it is larger than the sum of its proper divisors (412730807096).

878465680225 is an frugal number, since it uses more digits than its factorization.

878465680225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 61.

The spelling of 878465680225 in words is "eight hundred seventy-eight billion, four hundred sixty-five million, six hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 61 175 245 305 427 439 1225 1525 2135 2195 2989 3073 3721 10675 10975 14945 15365 18605 21511 26047 26779 74725 76825 93025 107555 130235 133895 182329 187453 192721 537775 651175 669475 911645 937265 963605 1312171 1349047 1633519 4558225 4686325 4818025 6560855 6745235 8167595 9443329 11434633 11755981 32804275 33726175 40837975 47216645 57173165 58779905 80042431 82291867 236083225 285865825 293899525 400212155 411459335 576043069 717114841 2001060775 2057296675 2880215345 3585574205 5019803887 14401076725 17927871025 25099019435 35138627209 125495097175 175693136045 878465680225