Search a number
-
+
64090816194276 = 2232172784872
BaseRepresentation
bin11101001001010010011100…
…10101010010011011100100
322101221000121011202220002100
432210221032111102123210
531400030442421204101
6344150525310412100
716333260113030334
oct1644511625223344
9271830534686070
1064090816194276
111946a842996693
127231290801030
13299b9795cc191
1411b80251170c4
157622388aee86
hex3a4a4e5526e4

64090816194276 has 81 divisors (see below), whose sum is σ = 172099956273609. Its totient is φ = 20106666546048.

The previous prime is 64090816194233. The next prime is 64090816194281. The reversal of 64090816194276 is 67249161809046.

The square root of 64090816194276 is 8005674.

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

64090816194276 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 0 + 8 + 1 + 619 + 4 + 2 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49897694268900 + 14193121925376 = 7063830^2 + 3767376^2 .

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, 816539505 + ... + 816617991.

Almost surely, 264090816194276 is an apocalyptic number.

64090816194276 is the 8005674-th square number.

It is an amenable number.

64090816194276 is an abundant number, since it is smaller than the sum of its proper divisors (108009140079333).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64090816194276 is an frugal number, since it uses more digits than its factorization.

64090816194276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157018 (or 78509 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 64090816194276 in words is "sixty-four trillion, ninety billion, eight hundred sixteen million, one hundred ninety-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 78487 156974 235461 313948 470922 706383 941844 1334279 1412766 2668558 2825532 4002837 5337116 8005674 12008511 16011348 22682743 24017022 45365486 48034044 68048229 90730972 136096458 204144687 272192916 408289374 816578748 6160209169 12320418338 18480627507 24640836676 36961255014 55441882521 73922510028 104723555873 110883765042 209447111746 221767530084 314170667619 418894223492 628341335238 942512002857 1256682670476 1780300449841 1885024005714 3560600899682 3770048011428 5340901349523 7121201799364 10681802699046 16022704048569 21363605398092 32045408097138 64090816194276