Search a number
-
+
54457267271031 = 3331829100977783
BaseRepresentation
bin11000110000111010100100…
…00100100011010101110111
321010211001201120220010102000
430120131102010203111313
524114211440410133111
6311453153451550343
714320256564204142
oct1430352204432567
9233731646803360
1054457267271031
1116396219749419
12613622475b3b3
1324503b53b1321
14d63a6268b059
15646859db8c56
hex318752123577

54457267271031 has 64 divisors (see below), whose sum is σ = 83464098816000. Its totient is φ = 35056110942720.

The previous prime is 54457267271023. The next prime is 54457267271101. The reversal of 54457267271031 is 13017276275445.

54457267271031 is a `hidden beast` number, since 5 + 4 + 4 + 572 + 6 + 7 + 27 + 10 + 31 = 666.

It is not a de Polignac number, because 54457267271031 - 23 = 54457267271023 is a prime.

It is a super-2 number, since 2×544572672710312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54457267275031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 700078966 + ... + 700156748.

It is an arithmetic number, because the mean of its divisors is an integer number (1304126544000).

Almost surely, 254457267271031 is an apocalyptic number.

54457267271031 is a deficient number, since it is larger than the sum of its proper divisors (29006831544969).

54457267271031 is a wasteful number, since it uses less digits than its factorization.

54457267271031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79661 (or 79655 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 54457267271031 in words is "fifty-four trillion, four hundred fifty-seven billion, two hundred sixty-seven million, two hundred seventy-one thousand, thirty-one".

Divisors: 1 3 9 27 31 93 279 829 837 1009 2487 3027 7461 9081 22383 25699 27243 31279 77097 77783 93837 231291 233349 281511 693873 700047 836461 844533 2100141 2411273 2509383 7233819 7528149 21701457 22584447 25930291 64482107 65104371 77790873 78483047 193446321 233372619 235449141 580338963 700117857 706347423 1741016889 1998945317 2119042269 2432974457 5996835951 7298923371 17990507853 21896770113 53971523559 65062445963 65690310339 195187337889 585562013667 1756686041001 2016935824853 6050807474559 18152422423677 54457267271031