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38656641540081 = 3172241607304789
BaseRepresentation
bin10001100101000011100110…
…11000110001111111110001
312001212112112210222120200110
420302201303120301333301
520031322300213240311
6214114341014211533
711066564420405025
oct1062416330617761
9161775483876613
1038656641540081
111135420a411234
124403abb053ba9
1318753c86aa7a6
14978dc46ca385
154708345608a6
hex232873631ff1

38656641540081 has 48 divisors (see below), whose sum is σ = 55070374008320. Its totient is φ = 24114631495680.

The previous prime is 38656641540059. The next prime is 38656641540107. The reversal of 38656641540081 is 18004514665683.

It is a happy number.

It is not a de Polignac number, because 38656641540081 - 27 = 38656641539953 is a prime.

It is a super-3 number, since 3×386566415400813 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38656641540001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126678435 + ... + 126983223.

Almost surely, 238656641540081 is an apocalyptic number.

It is an amenable number.

38656641540081 is a deficient number, since it is larger than the sum of its proper divisors (16413732468239).

38656641540081 is a wasteful number, since it uses less digits than its factorization.

38656641540081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305674 (or 305657 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 38656641540081 in words is "thirty-eight trillion, six hundred fifty-six billion, six hundred forty-one million, five hundred forty thousand, eighty-one".

Divisors: 1 3 17 51 241 289 607 723 867 1821 4097 10319 12291 30957 69649 146287 175423 208947 304789 438861 526269 914367 2486879 5181413 7460637 15544239 42276943 73454149 88084021 126830829 185006923 220362447 264252063 555020769 1248720533 3145117691 3746161599 9435353073 21228249061 44586668443 53467000747 63684747183 133760005329 160401002241 757973363531 2273920090593 12885547180027 38656641540081