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38543138257 = 1329109937949
BaseRepresentation
bin100011111001010110…
…011001110111010001
310200111010201021220011
4203321112121313101
51112414020411012
625412333114521
72533064161321
oct437126316721
9120433637804
1038543138257
1115389662278
127578028a41
1338332b53b0
141c18cd7281
151008b5e1a7
hex8f9599dd1

38543138257 has 16 divisors (see below), whose sum is σ = 43333290000. Its totient is φ = 34036257024.

The previous prime is 38543138251. The next prime is 38543138261. The reversal of 38543138257 is 75283134583.

It can be written as a sum of positive squares in 8 ways, for example, as 1936352016 + 36606786241 = 44004^2 + 191329^2 .

It is a cyclic number.

It is not a de Polignac number, because 38543138257 - 211 = 38543136209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38543138257.

It is not an unprimeable number, because it can be changed into a prime (38543138251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427882 + ... + 510067.

It is an arithmetic number, because the mean of its divisors is an integer number (2708330625).

Almost surely, 238543138257 is an apocalyptic number.

It is an amenable number.

38543138257 is a deficient number, since it is larger than the sum of its proper divisors (4790151743).

38543138257 is a wasteful number, since it uses less digits than its factorization.

38543138257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938100.

The product of its digits is 2419200, while the sum is 49.

The spelling of 38543138257 in words is "thirty-eight billion, five hundred forty-three million, one hundred thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 13 29 109 377 1417 3161 41093 937949 12193337 27200521 102236441 353606773 1329073733 2964856789 38543138257