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55668296732161 = 83224123732
BaseRepresentation
bin11001010100001010010010…
…00011010100111000000001
321022002211121022110220200211
430222011021003110320001
524244032132430412121
6314221355032114121
714503621200605431
oct1452051103247001
9238084538426624
1055668296732161
1116812879265943
1262b0a7bb35941
13250a661a3a299
14da65079542c1
156680d8012ce1
hex32a1490d4e01

55668296732161 has 27 divisors (see below), whose sum is σ = 56733955979337. Its totient is φ = 54622553754240.

The previous prime is 55668296732143. The next prime is 55668296732197. The reversal of 55668296732161 is 16123769286655.

The square root of 55668296732161 is 7461119.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5109882855025 + 50558413877136 = 2260505^2 + 7110444^2 .

It is not a de Polignac number, because 55668296732161 - 235 = 55633936993793 is a prime.

It is a super-2 number, since 2×556682967321612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55668296738161) 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 26 ways as a sum of consecutive naturals, for example, 149244763171 + ... + 149244763543.

Almost surely, 255668296732161 is an apocalyptic number.

55668296732161 is the 7461119-th square number.

55668296732161 is the 3730560-th centered octagonal number.

It is an amenable number.

55668296732161 is a deficient number, since it is larger than the sum of its proper divisors (1065659247176).

55668296732161 is an frugal number, since it uses more digits than its factorization.

55668296732161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 697 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 67.

The spelling of 55668296732161 in words is "fifty-five trillion, six hundred sixty-eight billion, two hundred ninety-six million, seven hundred thirty-two thousand, one hundred sixty-one".

Divisors: 1 83 241 373 6889 20003 30959 58081 89893 139129 1660249 2569597 4820723 7461119 11547707 21664213 33530089 400120009 619272877 958459681 1798129679 2782997387 8080751449 149244763357 230988783121 670702370267 55668296732161