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38211366457 = 11223791511151
BaseRepresentation
bin100011100101100100…
…110010111000111001
310122122000102112112201
4203211210302320321
51111224102211312
625315402110201
72521625153515
oct434544627071
9118560375481
1038211366457
1115229358200
1274a4aab361
1337ac642014
141bc6c13145
15ed9976557
hex8e5932e39

38211366457 has 48 divisors (see below), whose sum is σ = 44714557440. Its totient is φ = 32561100000.

The previous prime is 38211366451. The next prime is 38211366467. The reversal of 38211366457 is 75466311283.

38211366457 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 38211366457 - 27 = 38211366329 is a prime.

It is a super-2 number, since 2×382113664572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38211366451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33197832 + ... + 33198982.

It is an arithmetic number, because the mean of its divisors is an integer number (931553280).

Almost surely, 238211366457 is an apocalyptic number.

It is an amenable number.

38211366457 is a deficient number, since it is larger than the sum of its proper divisors (6503190983).

38211366457 is a wasteful number, since it uses less digits than its factorization.

38211366457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1415 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 38211366457 in words is "thirty-eight billion, two hundred eleven million, three hundred sixty-six thousand, four hundred fifty-seven".

Divisors: 1 11 23 79 121 151 253 869 1151 1661 1817 2783 3473 9559 11929 12661 18271 19987 26473 38203 90929 131219 139271 173801 219857 274367 291203 420233 1000219 1443409 1911811 2091367 3018037 3203233 3997423 11002409 13730279 21029921 23005037 33198407 43971653 151033069 253055407 315796417 483688183 1661363759 3473760587 38211366457