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201433694049 = 377191734003
BaseRepresentation
bin1011101110011001100…
…0100011111101100001
3201020221021000220000000
42323212120203331201
511300014011202144
6232312023050213
720360500102020
oct2734630437541
9636837026000
10201433694049
1178478083815
12330578a0969
1315cc2367153
149a6c6848b7
15538e272769
hex2ee6623f61

201433694049 has 128 divisors (see below), whose sum is σ = 365626060800. Its totient is φ = 108389399616.

The previous prime is 201433694039. The next prime is 201433694057. The reversal of 201433694049 is 940496334102.

201433694049 is a `hidden beast` number, since 201 + 4 + 3 + 36 + 9 + 404 + 9 = 666.

It is not a de Polignac number, because 201433694049 - 215 = 201433661281 is a prime.

It is a super-2 number, since 2×2014336940492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201433693995 and 201433694013.

It is not an unprimeable number, because it can be changed into a prime (201433694009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50318682 + ... + 50322684.

It is an arithmetic number, because the mean of its divisors is an integer number (2856453600).

Almost surely, 2201433694049 is an apocalyptic number.

It is an amenable number.

201433694049 is a deficient number, since it is larger than the sum of its proper divisors (164192366751).

201433694049 is an equidigital number, since it uses as much as digits as its factorization.

201433694049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 201433694049 in words is "two hundred one billion, four hundred thirty-three million, six hundred ninety-four thousand, forty-nine".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 173 189 243 399 513 519 567 729 1197 1211 1539 1557 1701 2187 3287 3591 3633 4003 4617 4671 5103 9861 10773 10899 12009 13851 14013 15309 23009 28021 29583 32319 32697 36027 41553 42039 69027 76057 84063 88749 96957 98091 108081 126117 207081 228171 252189 266247 290871 294273 324243 378351 532399 621243 684513 692519 756567 798741 882819 972729 1597197 1863729 2053539 2077557 2269701 2396223 2648457 2918187 4791591 4847633 5591187 6160617 6232671 6809103 7188669 8754561 13157861 14374773 14542899 16773561 18481851 18698013 20427309 39473583 43124319 43628697 50320683 55445553 56094039 61281927 92105027 118420749 129372957 130886091 166336659 168282117 276315081 355262247 388118871 392658273 504846351 828945243 1065786741 1164356613 1177974819 1514539053 2486835729 3197360223 3533924457 7460507187 9592080669 10601773371 22381521561 28776242007 67144564683 201433694049