Search a number
-
+
55004789961 = 341122321032
BaseRepresentation
bin110011001110100010…
…100111110011001001
312020222101012211210000
4303032202213303021
51400122211234321
641134023313213
73655033000062
oct631642476311
9166871184700
1055004789961
1121366851900
12a7b0bab809
1352578b78c4
14293b2bb569
15166de45826
hexcce8a7cc9

55004789961 has 135 divisors (see below), whose sum is σ = 95339582877. Its totient is φ = 31577253840.

The previous prime is 55004789893. The next prime is 55004789969. The reversal of 55004789961 is 16998740055.

The square root of 55004789961 is 234531.

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

55004789961 is a `hidden beast` number, since 5 + 500 + 4 + 78 + 9 + 9 + 61 = 666.

It is not a de Polignac number, because 55004789961 - 215 = 55004757193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55004789898 and 55004789907.

It is not an unprimeable number, because it can be changed into a prime (55004789969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 534027036 + ... + 534027138.

Almost surely, 255004789961 is an apocalyptic number.

55004789961 is the 234531-st square number.

55004789961 is the 117266-th centered octagonal number.

It is an amenable number.

55004789961 is a deficient number, since it is larger than the sum of its proper divisors (40334792916).

55004789961 is a wasteful number, since it uses less digits than its factorization.

55004789961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 55004789961 in words is "fifty-five billion, four million, seven hundred eighty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 23 27 33 69 81 99 103 121 207 253 297 309 363 529 621 759 891 927 1089 1133 1587 1863 2277 2369 2781 2783 3267 3399 4761 5819 6831 7107 8343 8349 9801 10197 10609 12463 14283 17457 20493 21321 25047 26059 30591 31827 37389 42849 52371 54487 63963 64009 75141 78177 91773 95481 112167 116699 157113 163461 191889 192027 225423 234531 244007 286443 286649 336501 350097 471339 490383 576081 599357 703593 732021 859329 859947 1009503 1050291 1283689 1471149 1728243 1798071 2110779 2196063 2579841 2684077 3150873 3851067 4413447 5184729 5394213 5612161 6588189 6592927 7739523 8052231 9452619 11553201 16182639 16836483 19764567 19778781 23218569 24156693 29524847 34659603 48547917 50509449 59336343 61733771 72470079 88574541 103978809 151528347 178009029 185201313 217410237 265723623 454585041 534027087 555603939 679071481 797170869 1666811817 2037214443 2391512607 5000435451 6111643329 18334929987 55004789961