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385065869121 = 32531818835051
BaseRepresentation
bin1011001101001111011…
…01101101111101000001
31100210220220100220202100
411212213231231331001
522302103330302441
6452521413541013
736551201611563
oct5464755557501
91323826326670
10385065869121
1113933a70a87a
1262765944769
132a4086457cb
14148cca07333
15a03a795cb6
hex59a7b6df41

385065869121 has 48 divisors (see below), whose sum is σ = 570589935552. Its totient is φ = 250142256000.

The previous prime is 385065869113. The next prime is 385065869171. The reversal of 385065869121 is 121968560583.

385065869121 is a `hidden beast` number, since 3 + 8 + 50 + 6 + 586 + 9 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 385065869121 - 23 = 385065869113 is a prime.

It is a super-2 number, since 2×3850658691212 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (385065869171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76233046 + ... + 76238096.

It is an arithmetic number, because the mean of its divisors is an integer number (11887290324).

Almost surely, 2385065869121 is an apocalyptic number.

It is an amenable number.

385065869121 is a deficient number, since it is larger than the sum of its proper divisors (185524066431).

385065869121 is a wasteful number, since it uses less digits than its factorization.

385065869121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 385065869121 in words is "three hundred eighty-five billion, sixty-five million, eight hundred sixty-nine thousand, one hundred twenty-one".

Divisors: 1 3 9 53 159 181 477 543 883 1629 2649 5051 7947 9593 15153 28779 45459 46799 86337 140397 159823 267703 421191 479469 803109 914231 1438407 2409327 2742693 4460033 8228079 8470619 13380099 25411857 40140297 48454243 76235571 145362729 236381749 436088187 709145247 807265973 2127435741 2421797919 7265393757 42785096569 128355289707 385065869121