Search a number
-
+
55464003540 = 2232511131213833
BaseRepresentation
bin110011101001111010…
…011000011111010100
312022011101022022101100
4303221322120133110
51402042241103130
641251350030100
74002310152141
oct635172303724
9168141268340
1055464003540
1121581a90860
12a8ba948330
1352cba8c20a
1429822973c8
151699403c60
hexce9e987d4

55464003540 has 144 divisors (see below), whose sum is σ = 184937328576. Its totient is φ = 13343116800.

The previous prime is 55464003533. The next prime is 55464003541. The reversal of 55464003540 is 4530046455.

55464003540 is a `hidden beast` number, since 5 + 5 + 4 + 640 + 0 + 3 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55464003495 and 55464003504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55464003541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152464 + ... + 366296.

It is an arithmetic number, because the mean of its divisors is an integer number (1284287004).

Almost surely, 255464003540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55464003540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92468664288).

55464003540 is an abundant number, since it is smaller than the sum of its proper divisors (129473325036).

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

55464003540 is a wasteful number, since it uses less digits than its factorization.

55464003540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213990 (or 213985 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 55464003540 its reverse (4530046455), we get a palindrome (59994049995).

The spelling of 55464003540 in words is "fifty-five billion, four hundred sixty-four million, three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 131 132 165 180 198 220 262 330 393 396 495 524 655 660 786 990 1179 1310 1441 1572 1965 1980 2358 2620 2882 3930 4323 4716 5764 5895 7205 7860 8646 11790 12969 14410 17292 21615 23580 25938 28820 43230 51876 64845 86460 129690 213833 259380 427666 641499 855332 1069165 1282998 1924497 2138330 2352163 2565996 3207495 3848994 4276660 4704326 6414990 7056489 7697988 9408652 9622485 11760815 12829980 14112978 19244970 21169467 23521630 28012123 28225956 35282445 38489940 42338934 47043260 56024246 70564890 84036369 84677868 105847335 112048492 140060615 141129780 168072738 211694670 252109107 280121230 308133353 336145476 420181845 423389340 504218214 560242460 616266706 840363690 924400059 1008436428 1232533412 1260545535 1540666765 1680727380 1848800118 2521091070 2773200177 3081333530 3697600236 4622000295 5042182140 5546400354 6162667060 9244000590 11092800708 13866000885 18488001180 27732001770 55464003540