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55935053955 = 33511371018019
BaseRepresentation
bin110100000101111111…
…010011000010000011
312100101012200011002000
4310011333103002003
51404023333211310
641410214155043
74020060054024
oct640577230203
9170335604060
1055935053955
11217a3974a20
12aa10652a83
135375549481
1429c8a74c4b
1516c594e4c0
hexd05fd3083

55935053955 has 64 divisors (see below), whose sum is σ = 111412108800. Its totient is φ = 26387026560.

The previous prime is 55935053893. The next prime is 55935054013.

55935053955 is a `hidden beast` number, since 5 + 5 + 9 + 3 + 50 + 539 + 55 = 666.

55935053955 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55935053955 - 27 = 55935053827 is a prime.

It is a super-2 number, since 2×559350539552 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 454065 + ... + 563954.

It is an arithmetic number, because the mean of its divisors is an integer number (1740814200).

Almost surely, 255935053955 is an apocalyptic number.

55935053955 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55935053955 is a deficient number, since it is larger than the sum of its proper divisors (55477054845).

55935053955 is a wasteful number, since it uses less digits than its factorization.

55935053955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018081 (or 1018075 counting only the distinct ones).

The product of its (nonzero) digits is 11390625, while the sum is 54.

The spelling of 55935053955 in words is "fifty-five billion, nine hundred thirty-five million, fifty-three thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 99 111 135 165 185 297 333 407 495 555 999 1221 1485 1665 2035 3663 4995 6105 10989 18315 54945 1018019 3054057 5090095 9162171 11198209 15270285 27486513 33594627 37666703 45810855 55991045 100783881 113000109 137432565 167973135 188333515 302351643 339000327 414333733 503919405 565000545 1017000981 1243001199 1511758215 1695001635 2071668665 3729003597 5085004905 6215005995 11187010791 18645017985 55935053955