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1385477106015 = 3517191935232833
BaseRepresentation
bin10100001010010100110…
…111101110100101011111
311220110011021121100012110
4110022110313232211133
5140144424114343030
62540251314405103
7202045262043162
oct24122467564537
94813137540173
101385477106015
11494639786072
121a4621590793
13a085ab88492
144b0b38dbad9
152608d1901b0
hex14294dee95f

1385477106015 has 128 divisors (see below), whose sum is σ = 2489124418560. Its totient is φ = 653954383872.

The previous prime is 1385477106011. The next prime is 1385477106031. The reversal of 1385477106015 is 5106017745831.

It is not a de Polignac number, because 1385477106015 - 22 = 1385477106011 is a prime.

It is a super-2 number, since 2×13854771060152 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385477106011) 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 127 ways as a sum of consecutive naturals, for example, 489048039 + ... + 489050871.

It is an arithmetic number, because the mean of its divisors is an integer number (19446284520).

Almost surely, 21385477106015 is an apocalyptic number.

1385477106015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1385477106015 is a deficient number, since it is larger than the sum of its proper divisors (1103647312545).

1385477106015 is a wasteful number, since it uses less digits than its factorization.

1385477106015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593.

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 1385477106015 in words is "one trillion, three hundred eighty-five billion, four hundred seventy-seven million, one hundred six thousand, fifteen".

Divisors: 1 3 5 15 17 19 51 57 85 95 193 255 285 323 523 579 965 969 1569 1615 2615 2833 2895 3281 3667 4845 7845 8499 8891 9843 9937 11001 14165 16405 18335 26673 29811 42495 44455 48161 49215 49685 53827 55005 62339 100939 133365 144483 149055 161481 168929 187017 240805 269135 302817 311695 504695 506787 546769 722415 807405 844645 915059 935085 1481659 1514085 1640307 1715963 1917841 2533935 2733845 2745177 4444977 4575295 5147889 5753523 7408295 8201535 8579815 9295073 9589205 10388611 13725885 22224885 25188203 25739445 27885219 28151521 28767615 31165833 32603297 46475365 51943055 75564609 84454563 97809891 125941015 139426095 140757605 155829165 163016485 176606387 285960187 377823045 422272815 478575857 489049455 529819161 857880561 883031935 1429800935 1435727571 2392879285 2649095805 4289402805 4861323179 5433243553 7178637855 14583969537 16299730659 24306615895 27166217765 72919847685 81498653295 92365140401 277095421203 461825702005 1385477106015