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93678375780081 = 321151228032
BaseRepresentation
bin10101010011001100110010…
…010011111011111011110001
3110021200120021002001202112100
4111103030302103323323301
544234311303144430311
6531123130212251013
725506016323645441
oct2523146223737361
9407616232052470
1093678375780081
1127937859a34aa4
12a60b5b6610a69
134036aa9c46a61
14191c0b3ddc121
15ac6bc9a26a56
hex5533324fbef1

93678375780081 has 27 divisors (see below), whose sum is σ = 135479206670457. Its totient is φ = 62375730251400.

The previous prime is 93678375779969. The next prime is 93678375780091. The reversal of 93678375780081 is 18008757387639.

The square root of 93678375780081 is 9678759.

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

93678375780081 is a `hidden beast` number, since 9 + 36 + 78 + 375 + 7 + 80 + 0 + 81 = 666.

It is not a de Polignac number, because 93678375780081 - 223 = 93678367391473 is a prime.

It is a super-2 number, since 2×936783757800812 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93678375779991 and 93678375780009.

It is not an unprimeable number, because it can be changed into a prime (93678375780091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33420753426 + ... + 33420756228.

Almost surely, 293678375780081 is an apocalyptic number.

93678375780081 is the 9678759-th square number.

93678375780081 is the 4839380-th centered octagonal number.

It is an amenable number.

93678375780081 is a deficient number, since it is larger than the sum of its proper divisors (41800830890376).

93678375780081 is an frugal number, since it uses more digits than its factorization.

93678375780081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 93678375780081 in words is "ninety-three trillion, six hundred seventy-eight billion, three hundred seventy-five million, seven hundred eighty thousand, eighty-one".

Divisors: 1 3 9 1151 2803 3453 8409 10359 25227 1324801 3226253 3974403 7856809 9678759 11923209 23570427 29036277 70711281 3713417203 9043187159 11140251609 27129561477 33420754827 81388684431 10408708420009 31226125260027 93678375780081