Search a number
-
+
385035530583 = 3113722913339
BaseRepresentation
bin1011001101001011110…
…01111111000101010111
31100210211210021120002210
411212211321333011113
522302023043434313
6452514411404503
736550353003204
oct5464571770527
91323753246083
10385035530583
11139324579000
1262757753733
132a402282702
14148c898acab
15a037ca19c3
hex59a5e7f157

385035530583 has 32 divisors (see below), whose sum is σ = 564800659200. Its totient is φ = 233305094880.

The previous prime is 385035530527. The next prime is 385035530591.

385035530583 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 385035530583 - 212 = 385035526487 is a prime.

It is a super-2 number, since 2×3850355305832 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385235530583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28858728 + ... + 28872066.

It is an arithmetic number, because the mean of its divisors is an integer number (17650020600).

Almost surely, 2385035530583 is an apocalyptic number.

385035530583 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

385035530583 is a deficient number, since it is larger than the sum of its proper divisors (179765128617).

385035530583 is a wasteful number, since it uses less digits than its factorization.

385035530583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20604 (or 20582 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 385035530583 in words is "three hundred eighty-five billion, thirty-five million, five hundred thirty thousand, five hundred eighty-three".

Divisors: 1 3 11 33 121 363 1331 3993 7229 13339 21687 40017 79519 146729 238557 440187 874709 1614019 2624127 4842057 9621799 17754209 28865397 53262627 96427631 289282893 1060703941 3182111823 11667743351 35003230053 128345176861 385035530583