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38238457007 = 23293771139157
BaseRepresentation
bin100011100111001100…
…001000110010101111
310122200220101212210102
4203213030020302233
51111303021111012
625322210501315
72522404343642
oct434714106257
9118626355712
1038238457007
1115242680793
1274b1b9483b
1337b513892a
141bca665a59
15edc0282c2
hex8e7308caf

38238457007 has 64 divisors (see below), whose sum is σ = 43574630400. Its totient is φ = 33418344960.

The previous prime is 38238456989. The next prime is 38238457063. The reversal of 38238457007 is 70075483283.

38238457007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38238457007 - 26 = 38238456943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38238457067) 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, 243556973 + ... + 243557129.

It is an arithmetic number, because the mean of its divisors is an integer number (680853600).

Almost surely, 238238457007 is an apocalyptic number.

38238457007 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

38238457007 is a deficient number, since it is larger than the sum of its proper divisors (5336173393).

38238457007 is a wasteful number, since it uses less digits than its factorization.

38238457007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 38238457007 in words is "thirty-eight billion, two hundred thirty-eight million, four hundred fifty-seven thousand, seven".

Divisors: 1 23 29 37 71 139 157 667 851 1073 1633 2059 2627 3197 3611 4031 4553 5143 5809 9869 11147 21823 24679 47357 60421 76183 92713 104719 118289 133607 149147 168461 226987 256381 286201 323263 365153 412439 501929 632867 807451 1549433 1752209 3430381 3874603 6582623 7435049 8398519 9486097 10589437 11960731 14555941 18571373 23416079 35636959 44933557 57329021 243557051 275096813 538569817 1033471811 1318567483 1662541609 38238457007