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53986517325 = 32521341450169
BaseRepresentation
bin110010010001110110…
…001110000101001101
312011100102011020022200
4302101312032011031
51341031022023300
640445010232113
73620556553146
oct622166160515
9164312136280
1053986517325
1120993a88574
12a567b85639
135124950610
142881d74acd
15160e855200
hexc91d8e14d

53986517325 has 72 divisors (see below), whose sum is σ = 106674083880. Its totient is φ = 25929676800.

The previous prime is 53986517297. The next prime is 53986517339. The reversal of 53986517325 is 52371568935.

53986517325 is a `hidden beast` number, since 5 + 3 + 98 + 6 + 517 + 32 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 40225115844 + 13761401481 = 200562^2 + 117309^2 .

It is not a de Polignac number, because 53986517325 - 218 = 53986255181 is a prime.

It is a Curzon number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 105160 + ... + 345009.

Almost surely, 253986517325 is an apocalyptic number.

It is an amenable number.

53986517325 is a deficient number, since it is larger than the sum of its proper divisors (52687566555).

53986517325 is a wasteful number, since it uses less digits than its factorization.

53986517325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450239 (or 450231 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 53986517325 in words is "fifty-three billion, nine hundred eighty-six million, five hundred seventeen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 195 205 225 325 369 533 585 615 975 1025 1599 1845 2665 2925 3075 4797 7995 9225 13325 23985 39975 119925 450169 1350507 2250845 4051521 5852197 6752535 11254225 17556591 18456929 20257605 29260985 33762675 52669773 55370787 87782955 92284645 101288025 146304925 166112361 239940077 263348865 276853935 438914775 461423225 719820231 830561805 1199700385 1316744325 1384269675 2159460693 3599101155 4152809025 5998501925 10797303465 17995505775 53986517325