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16949640248256 = 263374355486723
BaseRepresentation
bin1111011010100110010101…
…0010010011101111000000
32020000100222120102202222010
43312221211102103233000
54210200330400421011
6100014320210212520
73366366612651042
oct366514522235700
966010876382863
1016949640248256
115445336053521
121a98b54284140
1395c462325381
1442851cd49a92
151e5d743d91a6
hexf6a65493bc0

16949640248256 has 112 divisors (see below), whose sum is σ = 47129091684224. Its totient is φ = 5369339114496.

The previous prime is 16949640248251. The next prime is 16949640248263. The reversal of 16949640248256 is 65284204694961.

16949640248256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×169496402482562 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16949640248251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27437890 + ... + 28048833.

Almost surely, 216949640248256 is an apocalyptic number.

16949640248256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16949640248256 is an abundant number, since it is smaller than the sum of its proper divisors (30179451435968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16949640248256 is a wasteful number, since it uses less digits than its factorization.

16949640248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55486818 (or 55486808 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 66.

The spelling of 16949640248256 in words is "sixteen trillion, nine hundred forty-nine billion, six hundred forty million, two hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 64 74 86 96 111 129 148 172 192 222 258 296 344 444 516 592 688 888 1032 1184 1376 1591 1776 2064 2368 2752 3182 3552 4128 4773 6364 7104 8256 9546 12728 19092 25456 38184 50912 76368 101824 152736 305472 55486723 110973446 166460169 221946892 332920338 443893784 665840676 887787568 1331681352 1775575136 2053008751 2385929089 2663362704 3551150272 4106017502 4771858178 5326725408 6159026253 7157787267 8212035004 9543716356 10653450816 12318052506 14315574534 16424070008 19087432712 24636105012 28631149068 32848140016 38174865424 49272210024 57262298136 65696280032 76349730848 88279376293 98544420048 114524596272 131392560064 152699461696 176558752586 197088840096 229049192544 264838128879 353117505172 394177680192 458098385088 529676257758 706235010344 1059352515516 1412470020688 2118705031032 2824940041376 4237410062064 5649880082752 8474820124128 16949640248256