Search a number
-
+
55644864282 = 23273152327239
BaseRepresentation
bin110011110100101100…
…010011111100011010
312022121222121222200100
4303310230103330122
51402430041124112
641321330320230
74006634354010
oct636454237432
9168558558610
1055644864282
1121665091147
12a94b429076
13532a3a4ac7
14299c2d68b0
1516aa22c2dc
hexcf4b13f1a

55644864282 has 96 divisors (see below), whose sum is σ = 142509219840. Its totient is φ = 15355694880.

The previous prime is 55644864271. The next prime is 55644864299. The reversal of 55644864282 is 28246844655.

55644864282 is a `hidden beast` number, since 556 + 4 + 4 + 8 + 6 + 4 + 2 + 82 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2029219 + ... + 2056457.

It is an arithmetic number, because the mean of its divisors is an integer number (1484471040).

Almost surely, 255644864282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55644864282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71254609920).

55644864282 is an abundant number, since it is smaller than the sum of its proper divisors (86864355558).

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

55644864282 is a wasteful number, since it uses less digits than its factorization.

55644864282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27808 (or 27805 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 55644864282 in words is "fifty-five billion, six hundred forty-four million, eight hundred sixty-four thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 523 558 651 1046 1302 1569 1953 3138 3661 3906 4707 7322 9414 10983 16213 21966 27239 32426 32949 48639 54478 65898 81717 97278 113491 145917 163434 190673 226982 245151 291834 340473 381346 490302 572019 680946 844409 1021419 1144038 1688818 1716057 2042838 2533227 3432114 5066454 5910863 7599681 11821726 14245997 15199362 17732589 28491994 35465178 42737991 53197767 85475982 99721979 106395534 128213973 199443958 256427946 299165937 441625907 598331874 883251814 897497811 1324877721 1794995622 2649755442 3091381349 3974633163 6182762698 7949266326 9274144047 18548288094 27822432141 55644864282