Search a number
-
+
27700890856947 = 32721143914818783
BaseRepresentation
bin1100100110001100111011…
…10000100110110111110011
310122002011211201020002202200
412103012131300212313303
512112322411024410242
6134525340311114243
75556215620204200
oct623063560466763
9118064751202680
1027700890856947
11890a977800a90
123134750372983
13125c24b7c1189
146baa31c14ca7
1533086c96004c
hex19319dc26df3

27700890856947 has 144 divisors (see below), whose sum is σ = 50932226442240. Its totient is φ = 14345966073600.

The previous prime is 27700890856889. The next prime is 27700890856949. The reversal of 27700890856947 is 74965809800772.

It is not a de Polignac number, because 27700890856947 - 234 = 27683710987763 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27700890856949) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3153916918 + ... + 3153925700.

It is an arithmetic number, because the mean of its divisors is an integer number (353696016960).

Almost surely, 227700890856947 is an apocalyptic number.

27700890856947 is a deficient number, since it is larger than the sum of its proper divisors (23231335585293).

27700890856947 is a wasteful number, since it uses less digits than its factorization.

27700890856947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 27700890856947 in words is "twenty-seven trillion, seven hundred billion, eight hundred ninety million, eight hundred fifty-six thousand, nine hundred forty-seven".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 439 441 539 693 1317 1481 1617 3073 3951 4443 4829 4851 8783 9219 10367 13329 14487 16291 21511 26349 27657 31101 33803 43461 48873 61481 64533 72569 79047 93303 96613 101409 114037 146619 184443 193599 217707 236621 289839 304227 342111 430367 553329 650159 653121 676291 709863 798259 869517 1026333 1291101 1950477 2028873 2129589 2394777 3855737 3873303 4551113 4734037 5851431 6086619 7151749 7184331 11567211 13007623 13653339 14202111 21455247 26990159 31857791 34701633 39022869 40960017 42413107 42606333 50062243 64365741 80970477 91053361 95573373 117068607 127239321 143083853 150186729 188931113 242911431 273160083 286720119 296891749 350435701 381717963 429251559 450560187 566793339 637373527 819480249 890675247 1001586971 1051307103 1287754677 1700380017 1912120581 2078242243 2672025741 3004760913 3153921309 5710346497 5736361743 6234726729 7011108797 9014282739 17131039491 18704180187 21033326391 39972425479 51393118473 62813811467 63099979173 119917276437 188441434401 279806978353 359751829311 439696680269 565324303203 839420935059 1319090040807 2518262805177 3077876761883 3957270122421 9233630285649 27700890856947