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55640243340 = 2232511191479007
BaseRepresentation
bin110011110100011010…
…101011110010001100
312022121122221012221100
4303310122223302030
51402422400241330
641321043303100
74006550156613
oct636432536214
9168548835840
1055640243340
1121662515390
12a94997aa90
135329447716
14299b85287a
1516a9b18060
hexcf46abc8c

55640243340 has 144 divisors (see below), whose sum is σ = 193809208320. Its totient is φ = 12778611840.

The previous prime is 55640243333. The next prime is 55640243363. The reversal of 55640243340 is 4334204655.

55640243340 is a `hidden beast` number, since 5 + 5 + 640 + 2 + 4 + 3 + 3 + 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 = 55640243295 and 55640243304.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 701884 + ... + 777123.

It is an arithmetic number, because the mean of its divisors is an integer number (1345897280).

Almost surely, 255640243340 is an apocalyptic number.

It is an amenable number.

55640243340 is an abundant number, since it is smaller than the sum of its proper divisors (138168964980).

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

55640243340 is a wasteful number, since it uses less digits than its factorization.

55640243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479052 (or 1479047 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 55640243340 its reverse (4334204655), we get a palindrome (59974447995).

The spelling of 55640243340 in words is "fifty-five billion, six hundred forty million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 1479007 2958014 4437021 5916028 7395035 8874042 13311063 14790070 16269077 17748084 22185105 26622126 28101133 29580140 32538154 44370210 48807231 53244252 56202266 65076308 66555315 81345385 84303399 88740420 97614462 112404532 133110630 140505665 146421693 162690770 168606798 195228924 244036155 252910197 266221260 281011330 292843386 309112463 325381540 337213596 421516995 488072310 505820394 562022660 585686772 618224926 732108465 843033990 927337389 976144620 1011640788 1236449852 1264550985 1464216930 1545562315 1686067980 1854674778 2529101970 2782012167 2928433860 3091124630 3709349556 4636686945 5058203940 5564024334 6182249260 9273373890 11128048668 13910060835 18546747780 27820121670 55640243340