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552054450255 = 357116130725523
BaseRepresentation
bin10000000100010010000…
…00100110100001001111
31221202221121211202210120
420002021000212201033
533021101414402010
61101335454440023
754612265255110
oct10021100464117
91852847752716
10552054450255
111a3141388420
128aba9b03013
134009b71aa29
141ca10744207
15e560a43e70
hex808902684f

552054450255 has 128 divisors (see below), whose sum is σ = 1122984124416. Its totient is φ = 224920281600.

The previous prime is 552054450221. The next prime is 552054450301.

It is a happy number.

552054450255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552054450255 - 26 = 552054450191 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21616924 + ... + 21642446.

It is an arithmetic number, because the mean of its divisors is an integer number (8773313472).

Almost surely, 2552054450255 is an apocalyptic number.

552054450255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552054450255 is an abundant number, since it is smaller than the sum of its proper divisors (570929674161).

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

552054450255 is a wasteful number, since it uses less digits than its factorization.

552054450255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25917.

The product of its (nonzero) digits is 1000000, while the sum is 42.

The spelling of 552054450255 in words is "five hundred fifty-two billion, fifty-four million, four hundred fifty thousand, two hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 61 77 105 165 183 231 305 307 385 427 671 915 921 1155 1281 1535 2013 2135 2149 3355 3377 4605 4697 6405 6447 10065 10131 10745 14091 16885 18727 23485 23639 25523 32235 50655 56181 70455 70917 76569 93635 118195 127615 131089 178661 205997 280753 280905 354585 382845 393267 535983 617991 655445 842259 893305 1029985 1403765 1441979 1556903 1965271 1966335 2679915 3089955 4211295 4325937 4670709 5895813 7209895 7784515 7835561 9826355 10898321 17125933 21629685 23353545 23506683 29479065 32694963 39177805 51377799 54491605 54848927 85629665 86191171 117533415 119881531 163474815 164546781 256888995 258573513 274244635 359644593 430955855 477969221 599407655 603338197 822733905 1292867565 1433907663 1798222965 1810014591 2389846105 3016690985 3345784547 5257661431 7169538315 9050072955 10037353641 15772984293 16728922735 26288307155 36803630017 50186768205 78864921465 110410890051 184018150085 552054450255