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385012427427 = 32149393173037
BaseRepresentation
bin1011001101001001000…
…01110110101010100011
31100210210011210210112100
411212210201312222203
522302001140134202
6452512224301443
736546652431105
oct5464441665243
91323704723470
10385012427427
11139312529291
126274ba71883
132a3ca5539c4
14148c5895575
15a035c3b41c
hex59a4876aa3

385012427427 has 24 divisors (see below), whose sum is σ = 560011561200. Its totient is φ = 254883954240.

The previous prime is 385012427381. The next prime is 385012427473. The reversal of 385012427427 is 724724210583.

385012427427 is a `hidden beast` number, since 3 + 85 + 0 + 124 + 27 + 427 = 666.

It is an interprime number because it is at equal distance from previous prime (385012427381) and next prime (385012427473).

It is not a de Polignac number, because 385012427427 - 211 = 385012425379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385012427477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5234953 + ... + 5307989.

It is an arithmetic number, because the mean of its divisors is an integer number (23333815050).

Almost surely, 2385012427427 is an apocalyptic number.

385012427427 is a deficient number, since it is larger than the sum of its proper divisors (174999133773).

385012427427 is a wasteful number, since it uses less digits than its factorization.

385012427427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77123 (or 77120 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 385012427427 in words is "three hundred eighty-five billion, twelve million, four hundred twenty-seven thousand, four hundred twenty-seven".

Divisors: 1 3 9 149 447 1341 3931 11793 35379 73037 219111 585719 657333 1757157 5271471 10882513 32647539 97942617 287108447 861325341 2583976023 42779158603 128337475809 385012427427