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293912273681 = 13294127496917
BaseRepresentation
bin1000100011011101000…
…10010110001100010001
31001002122020210111011222
410101232202112030101
514303413020224211
6343004344014425
730143264051165
oct4215642261421
91032566714158
10293912273681
111037138a8424
1248b66761415
132193c828aa0
1410322818ca5
1579a2ee81db
hex446e896311

293912273681 has 32 divisors (see below), whose sum is σ = 335592180000. Its totient is φ = 255429457920.

The previous prime is 293912273663. The next prime is 293912273687. The reversal of 293912273681 is 186372219392.

It can be written as a sum of positive squares in 16 ways, for example, as 207995284225 + 85916989456 = 456065^2 + 293116^2 .

It is not a de Polignac number, because 293912273681 - 226 = 293845164817 is a prime.

It is a super-2 number, since 2×2939122736812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (293912273687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42487835 + ... + 42494751.

It is an arithmetic number, because the mean of its divisors is an integer number (10487255625).

Almost surely, 2293912273681 is an apocalyptic number.

It is an amenable number.

293912273681 is a deficient number, since it is larger than the sum of its proper divisors (41679906319).

293912273681 is a wasteful number, since it uses less digits than its factorization.

293912273681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749.

The product of its digits is 1959552, while the sum is 53.

The spelling of 293912273681 in words is "two hundred ninety-three billion, nine hundred twelve million, two hundred seventy-three thousand, six hundred eighty-one".

Divisors: 1 13 29 41 377 533 1189 2749 6917 15457 35737 79721 89921 112709 200593 283597 1036373 1465217 2607709 3268561 3686761 8224313 19014833 42491293 106916069 247192829 551430157 779608153 7168592041 10134905989 22608636437 293912273681