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38567809645 = 5179711534057
BaseRepresentation
bin100011111010110100…
…100001001001101101
310200112212010201200021
4203322310201021231
51112441324402040
625415014002141
72533513654501
oct437264411155
9120485121607
1038567809645
11153a1583252
127584346351
133838442b51
141c1c2ba301
15100add424a
hex8fad2126d

38567809645 has 32 divisors (see below), whose sum is σ = 49564152288. Its totient is φ = 28707913728.

The previous prime is 38567809619. The next prime is 38567809649. The reversal of 38567809645 is 54690876583.

38567809645 = 1388662 + 1388672.

38567809645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1239251209 + 37328558436 = 35203^2 + 193206^2 .

It is a 11-Lehmer number, since φ(38567809645) divides (38567809645-1)11.

It is a cyclic number.

It is not a de Polignac number, because 38567809645 - 217 = 38567678573 is a prime.

It is a super-3 number, since 3×385678096453 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38567809649) 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, 9504457 + ... + 9508513.

It is an arithmetic number, because the mean of its divisors is an integer number (1548879759).

Almost surely, 238567809645 is an apocalyptic number.

38567809645 is the 138867-th centered square number.

It is an amenable number.

38567809645 is a deficient number, since it is larger than the sum of its proper divisors (10996342643).

38567809645 is a wasteful number, since it uses less digits than its factorization.

38567809645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329.

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 38567809645 in words is "thirty-eight billion, five hundred sixty-seven million, eight hundred nine thousand, six hundred forty-five".

Divisors: 1 5 17 85 97 485 1153 1649 4057 5765 8245 19601 20285 68969 98005 111841 344845 393529 559205 1901297 1967645 4677721 6689993 9506485 23388605 33449965 79521257 397606285 453738937 2268694685 7713561929 38567809645