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388018113921 = 3289223332
BaseRepresentation
bin1011010010101111010…
…11101000110110000001
31101002112122112111021100
411221113223220312001
522324130114121141
6454130354445013
740014310356354
oct5512753506601
91332478474240
10388018113921
1113a615123009
126324a593769
132a789179619
1414accb3c29b
15a15ea550b6
hex5a57ae8d81

388018113921 has 27 divisors (see below), whose sum is σ = 567081858889. Its totient is φ = 255662607552.

The previous prime is 388018113893. The next prime is 388018113949. The reversal of 388018113921 is 129311810883.

The square root of 388018113921 is 622911.

It is a perfect power (a square), and thus also a powerful number.

388018113921 is a `hidden beast` number, since 3 + 8 + 80 + 181 + 1 + 392 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (388018113893) and next prime (388018113949).

It can be written as a sum of positive squares in 4 ways, for example, as 86656640625 + 301361473296 = 294375^2 + 548964^2 .

It is not a de Polignac number, because 388018113921 - 227 = 387883896193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (388018113971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166316071 + ... + 166318403.

Almost surely, 2388018113921 is an apocalyptic number.

388018113921 is the 622911-st square number.

388018113921 is the 311456-th centered octagonal number.

It is an amenable number.

388018113921 is a deficient number, since it is larger than the sum of its proper divisors (179063744968).

388018113921 is an frugal number, since it uses more digits than its factorization.

388018113921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 388018113921 in words is "three hundred eighty-eight billion, eighteen million, one hundred thirteen thousand, nine hundred twenty-one".

Divisors: 1 3 9 89 267 801 2333 6999 7921 20997 23763 71289 207637 622911 1868733 5442889 16328667 18479693 48986001 55439079 166317237 484417121 1453251363 4359754089 43113123769 129339371307 388018113921