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42814887093 = 3511292392311
BaseRepresentation
bin100111110111111101…
…110101010010110101
311002111211202121200000
4213313331311102311
51200141102341333
631400251341513
73043664351466
oct476775652265
9132454677600
1042814887093
1117180984410
12836a751899
1340642c2924
142102388d6d
1511a8bb2713
hex9f7f754b5

42814887093 has 96 divisors (see below), whose sum is σ = 72711475200. Its totient is φ = 24938020800.

The previous prime is 42814887091. The next prime is 42814887103. The reversal of 42814887093 is 39078841824.

It is a happy number.

42814887093 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 488 + 70 + 93 = 666.

It is not a de Polignac number, because 42814887093 - 21 = 42814887091 is a prime.

It is a super-2 number, since 2×428148870932 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42814887091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18525408 + ... + 18527718.

It is an arithmetic number, because the mean of its divisors is an integer number (757411200).

Almost surely, 242814887093 is an apocalyptic number.

It is an amenable number.

42814887093 is a deficient number, since it is larger than the sum of its proper divisors (29896588107).

42814887093 is a wasteful number, since it uses less digits than its factorization.

42814887093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 42814887093 in words is "forty-two billion, eight hundred fourteen million, eight hundred eighty-seven thousand, ninety-three".

Divisors: 1 3 9 11 27 29 33 81 87 99 239 243 261 297 319 717 783 891 957 2151 2311 2349 2629 2673 2871 6453 6931 6933 7047 7887 8613 19359 20793 20799 23661 25421 25839 58077 62379 62397 67019 70983 76241 76263 77517 187137 187191 201057 212949 228723 228789 552329 561411 561573 603171 638847 686169 686367 737209 1656987 1684233 1809513 2058507 2059101 2211627 4970961 5428539 6075619 6175521 6177303 6634881 14912883 16017541 16285617 18226857 18526563 19904643 44738649 48052623 54680571 59713929 134215947 144157869 164041713 176192951 179141787 432473607 492125139 528578853 1297420821 1476375417 1585736559 3892262463 4757209677 14271629031 42814887093