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55232066241 = 34111779101457
BaseRepresentation
bin110011011100000101…
…100111001011000001
312021120012212200020000
4303130011213023001
51401103402104431
641212342510213
73663462550122
oct633405471301
9167505780200
1055232066241
1121473074940
12a855135369
135292a02201
14295d560049
151683d8b9e6
hexcdc1672c1

55232066241 has 160 divisors (see below), whose sum is σ = 97677550080. Its totient is φ = 30730752000.

The previous prime is 55232066179. The next prime is 55232066269. The reversal of 55232066241 is 14266023255.

55232066241 is a `hidden beast` number, since 5 + 5 + 2 + 3 + 20 + 6 + 624 + 1 = 666.

It is not a de Polignac number, because 55232066241 - 217 = 55231935169 is a prime.

It is a super-2 number, since 2×552320662412 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55232066196 and 55232066205.

It is not an unprimeable number, because it can be changed into a prime (55232066041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120857685 + ... + 120858141.

It is an arithmetic number, because the mean of its divisors is an integer number (610484688).

Almost surely, 255232066241 is an apocalyptic number.

55232066241 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

55232066241 is a deficient number, since it is larger than the sum of its proper divisors (42445483839).

55232066241 is a wasteful number, since it uses less digits than its factorization.

55232066241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 55232066241 its reverse (14266023255), we get a palindrome (69498089496).

The spelling of 55232066241 in words is "fifty-five billion, two hundred thirty-two million, sixty-six thousand, two hundred forty-one".

Divisors: 1 3 9 11 17 27 33 51 79 81 99 101 153 187 237 297 303 457 459 561 711 869 891 909 1111 1343 1371 1377 1683 1717 2133 2607 2727 3333 4029 4113 5027 5049 5151 6399 7769 7821 7979 8181 9999 12087 12339 14773 15081 15147 15453 18887 23307 23463 23937 29997 36103 36261 37017 44319 45243 46157 46359 56661 69921 70389 71811 85459 87769 89991 108309 108783 132957 135643 135729 138471 139077 169983 209763 215433 256377 263307 324927 397133 398871 406929 407187 415413 507727 509949 613751 629289 646299 769131 784669 789921 974781 1191399 1196613 1220787 1246239 1492073 1523181 1529847 1841253 2307393 2354007 2369763 2924343 3574197 3646403 3662361 3738717 4476219 4569543 5523759 6751261 6922179 7062021 7109289 8631359 10722591 10939209 10987083 13428657 13708629 16571277 20253783 21186063 25894077 32167773 32817627 40110433 40285971 41125887 49713831 60761349 61988851 63558189 77682231 98452881 120331299 120857913 182284047 185966553 233046693 295358643 360993897 546852141 557899659 681877361 699140079 1082981691 1673698977 2045632083 3248945073 5021096931 6136896249 18410688747 55232066241