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38004440083 = 174167813817
BaseRepresentation
bin100011011001001111…
…011011110000010011
310122002121001120220221
4203121033123300103
51110313114040313
625243051013511
72513533260601
oct433117336023
9118077046827
1038004440083
1115132574375
12744773a297
13377880118c
141ba754a871
15ec66eec8d
hex8d93dbc13

38004440083 has 16 divisors (see below), whose sum is σ = 41836755744. Its totient is φ = 34375587840.

The previous prime is 38004440077. The next prime is 38004440093.

38004440083 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 38004440083 - 213 = 38004431891 is a prime.

It is a super-4 number, since 4×380044400834 (a number of 43 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (38004440093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360210 + ... + 453607.

It is an arithmetic number, because the mean of its divisors is an integer number (2614797234).

Almost surely, 238004440083 is an apocalyptic number.

38004440083 is a deficient number, since it is larger than the sum of its proper divisors (3832315661).

38004440083 is a wasteful number, since it uses less digits than its factorization.

38004440083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813942.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 38004440083 in words is "thirty-eight billion, four million, four hundred forty thousand, eighty-three".

Divisors: 1 17 41 67 697 1139 2747 46699 813817 13834889 33366497 54525739 567230449 926937563 2235555299 38004440083