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552323161323255 = 35721987314529897
BaseRepresentation
bin111110110010101011100000…
…1110101001111011011110111
32200102121120121202121220202210
41331211113001311033123313
51034343230313244321010
65234405431340504503
7224224013553126300
oct17545270165173367
92612546552556683
10552323161323255
1114aa94a34593a03
1251b43b1924b133
131a925b09aa091a
149a568257397a7
1543cc2d6273b20
hex1f655c1d4f6f7

552323161323255 has 96 divisors (see below), whose sum is σ = 1082226697032960. Its totient is φ = 239174160099840.

The previous prime is 552323161323239. The next prime is 552323161323257.

It is a happy number.

552323161323255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552323161323255 - 24 = 552323161323239 is a prime.

It is a super-2 number, since 2×5523231613232552 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552323161323257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119663467 + ... + 124193363.

It is an arithmetic number, because the mean of its divisors is an integer number (11273194760760).

Almost surely, 2552323161323255 is an apocalyptic number.

552323161323255 is a deficient number, since it is larger than the sum of its proper divisors (529903535709705).

552323161323255 is a wasteful number, since it uses less digits than its factorization.

552323161323255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538669 (or 4538662 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 48.

The spelling of 552323161323255 in words is "five hundred fifty-two trillion, three hundred twenty-three billion, one hundred sixty-one million, three hundred twenty-three thousand, two hundred fifty-five".

Divisors: 1 3 5 7 15 19 21 35 49 57 95 105 133 147 245 285 399 665 735 931 1995 2793 4655 8731 13965 26193 43655 61117 130965 165889 183351 305585 427819 497667 829445 916755 1161223 1283457 2139095 2488335 3483669 4529897 5806115 6417285 8128561 13589691 17418345 22649485 24385683 31709279 40642805 67948455 86068043 95127837 121928415 158546395 221964953 258204129 430340215 475639185 602476301 665894859 1109824765 1291020645 1807428903 3012381505 3329474295 4217334107 9037144515 12652002321 21086670535 39550530707 63260011605 118651592121 197752653535 276853714949 593257960605 751460083433 830561144847 1384268574745 1937976004643 2254380250299 3757300417165 4152805724235 5260220584031 5813928013929 9689880023215 11271901251495 15780661752093 26301102920155 29069640069645 36821544088217 78903308760465 110464632264651 184107720441085 552323161323255