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38088296001 = 3275910247053
BaseRepresentation
bin100011011110001111…
…010100011001000001
310122022102211220121200
4203132033110121001
51111001100433001
625255244211413
72515602113520
oct433617243101
9118272756550
1038088296001
1115175939588
12746b839b69
13378ccb1672
141bb47384b7
15ecdc66086
hex8de3d4641

38088296001 has 24 divisors (see below), whose sum is σ = 63941616960. Its totient is φ = 21395844576.

The previous prime is 38088295997. The next prime is 38088296003. The reversal of 38088296001 is 10069288083.

38088296001 is a `hidden beast` number, since 38 + 0 + 8 + 8 + 2 + 9 + 600 + 1 = 666.

It is not a de Polignac number, because 38088296001 - 22 = 38088295997 is a prime.

It is a super-3 number, since 3×380882960013 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38088296003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5119810 + ... + 5127243.

It is an arithmetic number, because the mean of its divisors is an integer number (2664234040).

Almost surely, 238088296001 is an apocalyptic number.

It is an amenable number.

38088296001 is a deficient number, since it is larger than the sum of its proper divisors (25853320959).

38088296001 is a wasteful number, since it uses less digits than its factorization.

38088296001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247125 (or 10247122 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 38088296001 in words is "thirty-eight billion, eighty-eight million, two hundred ninety-six thousand, one".

Divisors: 1 3 7 9 21 59 63 177 413 531 1239 3717 10247053 30741159 71729371 92223477 215188113 604576127 645564339 1813728381 4232032889 5441185143 12696098667 38088296001