Search a number
-
+
2089263779712 = 27325093563059
BaseRepresentation
bin11110011001110001110…
…100110100111110000000
321101201202101101200201100
4132121301310310332000
5233212303011422322
64235443341334400
7303641622053544
oct36316164647600
97351671350640
102089263779712
11736062a3375a
12298ab6267400
1312202a9a4c35
1473199aa5a24
153952e8cedac
hex1e671d34f80

2089263779712 has 96 divisors (see below), whose sum is σ = 6023887389000. Its totient is φ = 695052850176.

The previous prime is 2089263779693. The next prime is 2089263779753. The reversal of 2089263779712 is 2179773629802.

2089263779712 is a `hidden beast` number, since 208 + 9 + 263 + 77 + 97 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2089263779712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195162 + ... + 2367897.

Almost surely, 22089263779712 is an apocalyptic number.

It is an amenable number.

2089263779712 is an abundant number, since it is smaller than the sum of its proper divisors (3934623609288).

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

2089263779712 is a wasteful number, since it uses less digits than its factorization.

2089263779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563588 (or 3563573 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 2089263779712 in words is "two trillion, eighty-nine billion, two hundred sixty-three million, seven hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 509 576 1018 1152 1527 2036 3054 4072 4581 6108 8144 9162 12216 16288 18324 24432 32576 36648 48864 65152 73296 97728 146592 195456 293184 586368 3563059 7126118 10689177 14252236 21378354 28504472 32067531 42756708 57008944 64135062 85513416 114017888 128270124 171026832 228035776 256540248 342053664 456071552 513080496 684107328 1026160992 1368214656 1813597031 2052321984 3627194062 4104643968 5440791093 7254388124 10881582186 14508776248 16322373279 21763164372 29017552496 32644746558 43526328744 58035104992 65289493116 87052657488 116070209984 130578986232 174105314976 232140419968 261157972464 348210629952 522315944928 696421259904 1044631889856 2089263779712