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9728947003876 = 2217219924612
BaseRepresentation
bin1000110110010011001001…
…1011100010000111100100
31021110002010001012101022221
42031210302123202013210
52233344340413111001
632405225550402124
72022615243033142
oct215446233420744
937402101171287
109728947003876
113111028a50221
121111650800344
135575884ba799
14258c52650592
1511d113c0e1a1
hex8d9326e21e4

9728947003876 has 81 divisors (see below), whose sum is σ = 18216936287067. Its totient is φ = 4545439937280.

The previous prime is 9728947003807. The next prime is 9728947003889. The reversal of 9728947003876 is 6783007498279.

The square root of 9728947003876 is 3119126.

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 121278062500 + 9607668941376 = 348250^2 + 3099624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21104006286 + ... + 21104006746.

Almost surely, 29728947003876 is an apocalyptic number.

9728947003876 is the 3119126-th square number.

It is an amenable number.

9728947003876 is a deficient number, since it is larger than the sum of its proper divisors (8487989283191).

9728947003876 is an equidigital number, since it uses as much as digits as its factorization.

9728947003876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 70.

The spelling of 9728947003876 in words is "nine trillion, seven hundred twenty-eight billion, nine hundred forty-seven million, three thousand, eight hundred seventy-six".

Divisors: 1 2 4 17 34 68 199 289 398 461 578 796 922 1156 1844 3383 6766 7837 13532 15674 31348 39601 57511 79202 91739 115022 133229 158404 183478 212521 230044 266458 366956 425042 532916 673217 850084 1346434 1559563 2692868 3119126 3612857 6238252 7225714 11444689 14451428 18256061 22889378 26512571 36512122 42291679 45778756 53025142 61418569 73024244 84583358 106050284 122837138 169166716 245674276 310353037 620706074 718958543 1241412148 1437917086 2875834172 5276001629 8416044121 10552003258 12222295231 16832088242 21104006516 24444590462 33664176484 48889180924 143072750057 286145500114 572291000228 2432236750969 4864473501938 9728947003876