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55461047041512 = 23327215720251429
BaseRepresentation
bin11001001110001000010000…
…00000011111110111101000
321021101000122201121210020100
430213010020000133313220
524232133211020312022
6313542241524025400
714452633306366200
oct1447041000376750
9237330581553210
1055461047041512
1116742997208872
126278880532260
1324c3c53780538
14d9a486abb400
15662a083a21ac
hex32710801fde8

55461047041512 has 72 divisors (see below), whose sum is σ = 174730594644450. Its totient is φ = 15846013439424.

The previous prime is 55461047041481. The next prime is 55461047041537. The reversal of 55461047041512 is 21514074016455.

55461047041512 is a `hidden beast` number, since 5 + 5 + 4 + 61 + 0 + 4 + 70 + 4 + 1 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40350521066436 + 15110525975076 = 6352206^2 + 3887226^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×554610470415122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7860122187 + ... + 7860129242.

Almost surely, 255461047041512 is an apocalyptic number.

It is an amenable number.

55461047041512 is an abundant number, since it is smaller than the sum of its proper divisors (119269547602938).

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

55461047041512 is a wasteful number, since it uses less digits than its factorization.

55461047041512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15720251455 (or 15720251441 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55461047041512 in words is "fifty-five trillion, four hundred sixty-one billion, forty-seven million, forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 15720251429 31440502858 47160754287 62881005716 94321508574 110041760003 125762011432 141482262861 188643017148 220083520006 282964525722 330125280009 377286034296 440167040012 565929051444 660250560018 770292320021 880334080024 990375840027 1131858102888 1320501120036 1540584640042 1980751680054 2310876960063 2641002240072 3081169280084 3961503360108 4621753920126 6162338560168 6932630880189 7923006720216 9243507840252 13865261760378 18487015680504 27730523520756 55461047041512