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93048672838276 = 2217261246512
BaseRepresentation
bin10101001010000010010101…
…000101110110001010000100
3110012110100212222212220220101
4111022002111011312022010
544144002140221311101
6525521545321013444
725412354566156441
oct2512022505661204
9405410788786811
1093048672838276
11277147a2052711
12a529558324284
133cbc5b563224c
1418d9818d589c8
15ab56221ac401
hex54a095176284

93048672838276 has 81 divisors (see below), whose sum is σ = 175897157951151. Its totient is φ = 43060520736000.

The previous prime is 93048672838237. The next prime is 93048672838339. The reversal of 93048672838276 is 67283827684039.

The square root of 93048672838276 is 9646174.

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 8585661816900 + 84463011021376 = 2930130^2 + 9190376^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93048672838199 and 93048672838208.

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, 20006162551 + ... + 20006167201.

Almost surely, 293048672838276 is an apocalyptic number.

93048672838276 is the 9646174-th square number.

It is an amenable number.

93048672838276 is a deficient number, since it is larger than the sum of its proper divisors (82848485112875).

93048672838276 is an frugal number, since it uses more digits than its factorization.

93048672838276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9462 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 73.

The spelling of 93048672838276 in words is "ninety-three trillion, forty-eight billion, six hundred seventy-two million, eight hundred thirty-eight thousand, two hundred seventy-six".

Divisors: 1 2 4 17 34 61 68 122 244 289 578 1037 1156 2074 3721 4148 4651 7442 9302 14884 17629 18604 35258 63257 70516 79067 126514 158134 253028 283711 316268 567422 1075369 1134844 1344139 2150738 2688278 4301476 4823087 5376556 9646174 17306371 19292348 21631801 34612742 43263602 69225484 81992479 86527204 163984958 294208307 327969916 367740617 588416614 735481234 1176833228 1319539861 1470962468 2639079722 5001541219 5278159444 6251590489 10003082438 12503180978 20006164876 22432177637 25006361956 44864355274 80491931521 89728710548 160983863042 321967726084 381347019829 762694039658 1368362835857 1525388079316 2736725671714 5473451343428 23262168209569 46524336419138 93048672838276