Search a number
-
+
6837930201025 = 5271119211184903
BaseRepresentation
bin110001110000001010001…
…1001101000111111000001
3220012200220010001010222001
41203200110121220333001
51344013040112413100
622313145103144001
71304011166463520
oct143402431507701
926180803033861
106837930201025
1121a6a4a374620
129252a0ba5001
133a7a776164b1
14198d598984b7
15bcd0c1b2d6a
hex63814668fc1

6837930201025 has 48 divisors (see below), whose sum is σ = 10571869928448. Its totient is φ = 4262360904000.

The previous prime is 6837930201019. The next prime is 6837930201029. The reversal of 6837930201025 is 5201020397386.

It is not a de Polignac number, because 6837930201025 - 213 = 6837930192833 is a prime.

It is a super-2 number, since 2×68379302010252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6837930201029) 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 47 ways as a sum of consecutive naturals, for example, 36888724 + ... + 37073626.

It is an arithmetic number, because the mean of its divisors is an integer number (220247290176).

Almost surely, 26837930201025 is an apocalyptic number.

It is an amenable number.

6837930201025 is a deficient number, since it is larger than the sum of its proper divisors (3733939727423).

6837930201025 is a wasteful number, since it uses less digits than its factorization.

6837930201025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204142 (or 204137 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 6837930201025 in words is "six trillion, eight hundred thirty-seven billion, nine hundred thirty million, two hundred one thousand, twenty-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 385 1925 19211 96055 134477 184903 211321 480275 672385 924515 1056605 1294321 1479247 2033933 3361925 4622575 5283025 6471605 7396235 10169665 14237531 32358025 36981175 50848325 71187655 355938275 3552171533 17760857665 24865200731 39073886863 88804288325 124326003655 195369434315 273517208041 621630018275 976847171575 1367586040205 6837930201025