Search a number
-
+
56783553849 = 34112292832
BaseRepresentation
bin110100111000100100…
…000100010100111001
312102120100021102010000
4310320210010110321
51412243042210344
642030324343213
74050102146451
oct647044042471
9172510242100
1056783553849
1122099921500
12b008844b09
13547c280a09
142a69626d61
1517251a6a69
hexd38904539

56783553849 has 135 divisors (see below), whose sum is σ = 97740561919. Its totient is φ = 32827243680.

The previous prime is 56783553779. The next prime is 56783553857. The reversal of 56783553849 is 94835538765.

The square root of 56783553849 is 238293.

It is a perfect power (a square), and thus also a powerful number.

56783553849 is a `hidden beast` number, since 5 + 6 + 78 + 3 + 553 + 8 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29775918249 + 27007635600 = 172557^2 + 164340^2 .

It is not a de Polignac number, because 56783553849 - 27 = 56783553721 is a prime.

Its product of digits (108864000) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (56783553899) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 684139162 + ... + 684139244.

Almost surely, 256783553849 is an apocalyptic number.

56783553849 is the 238293-rd square number.

56783553849 is the 119147-th centered octagonal number.

It is an amenable number.

56783553849 is a deficient number, since it is larger than the sum of its proper divisors (40957008070).

56783553849 is an equidigital number, since it uses as much as digits as its factorization.

56783553849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 126 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 56783553849 in words is "fifty-six billion, seven hundred eighty-three million, five hundred fifty-three thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 27 29 33 81 83 87 99 121 249 261 297 319 363 747 783 841 891 913 957 1089 2241 2349 2407 2523 2739 2871 3267 3509 6723 6889 7221 7569 8217 8613 9251 9801 10043 10527 20667 21663 22707 24651 25839 26477 27753 30129 31581 62001 64989 68121 69803 73953 75779 79431 83259 90387 94743 101761 186003 194967 199781 209409 227337 238293 249777 271161 284229 291247 305283 558009 599343 628227 682011 714879 749331 767833 813483 833569 873741 915849 1798029 1884681 2046033 2144637 2197591 2303499 2500707 2621223 2747547 5394087 5654043 5793649 6138099 6592773 6910497 7502121 7863669 8242641 8446163 16182261 17380947 19778319 20731491 22506363 23591007 24173501 25338489 52142841 59334957 62194473 63730139 67519089 72520503 76015467 156428523 178004871 191190417 217561509 228046401 469285569 573571251 652684527 684139203 701031529 1720713753 1958053581 2103094587 5162141259 6309283761 18927851283 56783553849