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5835438345385 = 511268314879497
BaseRepresentation
bin101010011101010101100…
…1110101100110010101001
3202122212021201202100011101
41110322223032230302221
51231101434204023020
620224432515401401
71141411413346315
oct124725316546251
922585251670141
105835438345385
11194a8828a8700
127a2b445b3261
1333438301057c
14162618520b45
15a1bd6cce00a
hex54eab3acca9

5835438345385 has 48 divisors (see below), whose sum is σ = 7714256755968. Its totient is φ = 4234445684480.

The previous prime is 5835438345367. The next prime is 5835438345481.

5835438345385 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5835438345385 - 225 = 5835404790953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 614445957 + ... + 614455453.

It is an arithmetic number, because the mean of its divisors is an integer number (160713682416).

Almost surely, 25835438345385 is an apocalyptic number.

5835438345385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5835438345385 is a deficient number, since it is larger than the sum of its proper divisors (1878818410583).

5835438345385 is a wasteful number, since it uses less digits than its factorization.

5835438345385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11683 counting only the distinct ones).

The product of its digits is 414720000, while the sum is 64.

The spelling of 5835438345385 in words is "five trillion, eight hundred thirty-five billion, four hundred thirty-eight million, three hundred forty-five thousand, three hundred eighty-five".

Divisors: 1 5 11 55 121 605 683 1487 3415 7435 7513 9497 16357 37565 47485 81785 82643 104467 179927 413215 522335 899635 1015621 1149137 5078105 5745685 6486451 11171831 14122039 32432255 55859155 70610195 71350961 122890141 155342429 356754805 614450705 776712145 784860571 1708766719 3924302855 8543833595 9645352637 48226763185 106098879007 530494395035 1167087669077 5835438345385