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55303567812 = 2232432830833
BaseRepresentation
bin110011100000010110…
…010111100111000100
312021202012102022221100
4303200112113213010
51401230203132222
641223415220100
73665321366403
oct634026274704
9167665368840
1055303567812
11214aa471049
12a875077630
1352a477832c
142968c5363a
15168a2b24ac
hexce05979c4

55303567812 has 54 divisors (see below), whose sum is σ = 143121957342. Its totient is φ = 18005791104.

The previous prime is 55303567807. The next prime is 55303567817. The reversal of 55303567812 is 21876530355.

55303567812 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 3 + 567 + 81 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (55303567807) and next prime (55303567817).

It can be written as a sum of positive squares in only one way, i.e., 36746589636 + 18556978176 = 191694^2 + 136224^2 .

It is a super-3 number, since 3×553035678123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (55303567817) 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 17 ways as a sum of consecutive naturals, for example, 348853 + ... + 481980.

Almost surely, 255303567812 is an apocalyptic number.

It is an amenable number.

55303567812 is an abundant number, since it is smaller than the sum of its proper divisors (87818389530).

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

55303567812 is a wasteful number, since it uses less digits than its factorization.

55303567812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830929 (or 830881 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 55303567812 in words is "fifty-five billion, three hundred three million, five hundred sixty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1849 3698 5547 7396 11094 16641 22188 33282 66564 830833 1661666 2492499 3323332 4984998 7477497 9969996 14954994 29909988 35725819 71451638 107177457 142903276 214354914 321532371 428709828 643064742 1286129484 1536210217 3072420434 4608630651 6144840868 9217261302 13825891953 18434522604 27651783906 55303567812