Search a number
-
+
2029066496235 = 3252329479141131
BaseRepresentation
bin11101100001101101110…
…010011010100011101011
321011222101010120211220200
4131201231302122203223
5231221012010334420
64152050144523243
7266411105434422
oct35415562324353
97158333524820
102029066496235
117125821596a9
122892b6320523
1311945640207c
14702c8d3a2b9
1537ba9bacb90
hex1d86dc9a8eb

2029066496235 has 96 divisors (see below), whose sum is σ = 3804467097600. Its totient is φ = 997330709760.

The previous prime is 2029066496209. The next prime is 2029066496239. The reversal of 2029066496235 is 5326946609202.

2029066496235 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 0 + 6 + 6 + 4 + 9 + 623 + 5 = 666.

It is not a de Polignac number, because 2029066496235 - 29 = 2029066495723 is a prime.

It is a super-3 number, since 3×20290664962353 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2029066496239) 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 95 ways as a sum of consecutive naturals, for example, 14306620 + ... + 14447750.

It is an arithmetic number, because the mean of its divisors is an integer number (39629865600).

Almost surely, 22029066496235 is an apocalyptic number.

2029066496235 is a deficient number, since it is larger than the sum of its proper divisors (1775400601365).

2029066496235 is a wasteful number, since it uses less digits than its factorization.

2029066496235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141673 (or 141670 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 2029066496235 in words is "two trillion, twenty-nine billion, sixty-six million, four hundred ninety-six thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 23 29 45 69 87 115 145 207 261 345 435 479 667 1035 1305 1437 2001 2395 3335 4311 6003 7185 10005 11017 13891 21555 30015 33051 41673 55085 69455 99153 125019 141131 165255 208365 319493 423393 495765 625095 705655 958479 1270179 1597465 2116965 2875437 3246013 4092799 4792395 6350895 9738039 12278397 14377185 16230065 20463995 29214117 36835191 48690195 61391985 67601749 94134377 146070585 184175955 202805247 282403131 338008745 470671885 608415741 847209393 1014026235 1412015655 1554840227 1960450721 3042078705 4236046965 4664520681 5881352163 7774201135 9802253605 13993562043 17644056489 23322603405 29406760815 45090366583 69967810215 88220282445 135271099749 225451832915 405813299247 676355498745 2029066496235