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53220512241 = 3413241209717
BaseRepresentation
bin110001100100001100…
…001001000111110001
312002101000210010220000
4301210030021013301
51332443422342431
640241004140213
73562565614161
oct614414110761
9162330703800
1053220512241
1120630656616
12a393537669
135032040b80
14280c3385a1
1515b74959e6
hexc643091f1

53220512241 has 40 divisors (see below), whose sum is σ = 85973474664. Its totient is φ = 32615032320.

The previous prime is 53220512231. The next prime is 53220512263. The reversal of 53220512241 is 14221502235.

53220512241 is a `hidden beast` number, since 532 + 2 + 0 + 5 + 122 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3402272241 + 49818240000 = 58329^2 + 223200^2 .

It is not a de Polignac number, because 53220512241 - 211 = 53220510193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53220512231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148915 + ... + 358631.

Almost surely, 253220512241 is an apocalyptic number.

It is an amenable number.

53220512241 is a deficient number, since it is larger than the sum of its proper divisors (32752962423).

53220512241 is a wasteful number, since it uses less digits than its factorization.

53220512241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209983 (or 209974 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

It can be divided in two parts, 532205 and 12241, that added together give a triangular number (544446 = T1043).

The spelling of 53220512241 in words is "fifty-three billion, two hundred twenty million, five hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 241 351 723 1053 2169 3133 6507 9399 19521 28197 84591 209717 253773 629151 1887453 2726321 5662359 8178963 16987077 24536889 50541797 73610667 151625391 220832001 454876173 657043361 1364628519 1971130083 4093885557 5913390249 17740170747 53220512241