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55916642089 = 72112372832
BaseRepresentation
bin110100000100111001…
…000011111100101001
312100022221000201202001
4310010321003330221
51404004130021324
641404315411001
74016444421100
oct640471037451
9170287021661
1055916642089
1121794539900
12aa06453a61
1353717a0b89
1429c6441037
1516c4013e44
hexd04e43f29

55916642089 has 81 divisors (see below), whose sum is σ = 74377274391. Its totient is φ = 41883035040.

The previous prime is 55916642081. The next prime is 55916642113. The reversal of 55916642089 is 98024661955.

The square root of 55916642089 is 236467.

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

It can be written as a sum of positive squares in only one way, i.e., 50034979225 + 5881662864 = 223685^2 + 76692^2 .

It is not a de Polignac number, because 55916642089 - 23 = 55916642081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55916642081) 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 80 ways as a sum of consecutive naturals, for example, 673694442 + ... + 673694524.

Almost surely, 255916642089 is an apocalyptic number.

55916642089 is the 236467-th square number.

55916642089 is the 118234-th centered octagonal number.

It is an amenable number.

55916642089 is a deficient number, since it is larger than the sum of its proper divisors (18460632302).

55916642089 is an equidigital number, since it uses as much as digits as its factorization.

55916642089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 55916642089 in words is "fifty-five billion, nine hundred sixteen million, six hundred forty-two thousand, eighty-nine".

Divisors: 1 7 11 37 49 77 83 121 259 407 539 581 847 913 1369 1813 2849 3071 4067 4477 5929 6391 6889 9583 10043 15059 19943 21497 31339 33781 44737 48223 67081 70301 75779 105413 113627 150479 165649 219373 236467 254893 337561 371591 492107 530453 737891 795389 833569 1159543 1249897 1655269 1784251 2601137 2803823 3713171 5567723 5834983 8116801 8749279 9431041 12489757 13748867 18207959 19626761 30842053 40844881 61244953 66017287 96242069 103741451 137387327 215894371 462121009 673694483 726190157 1141155961 1511260597 5083331099 7988091727 55916642089