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53527672064 = 281712299557
BaseRepresentation
bin110001110110011111…
…110111010100000000
312010011102202110221202
4301312133313110000
51334111041001224
640331255440332
73603315463646
oct616637672400
9163142673852
1053527672064
1120778a80309
12a45a3860a8
135080877849
14283b053196
1515d441aeae
hexc767f7500

53527672064 has 36 divisors (see below), whose sum is σ = 113131334484. Its totient is φ = 25189490688.

The previous prime is 53527672063. The next prime is 53527672067. The reversal of 53527672064 is 46027672535.

It can be written as a sum of positive squares in 2 ways, for example, as 16281760000 + 37245912064 = 127600^2 + 192992^2 .

It is a super-3 number, since 3×535276720643 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53527672063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6145427 + ... + 6154130.

It is an arithmetic number, because the mean of its divisors is an integer number (3142537069).

Almost surely, 253527672064 is an apocalyptic number.

It is an amenable number.

53527672064 is an abundant number, since it is smaller than the sum of its proper divisors (59603662420).

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

53527672064 is a wasteful number, since it uses less digits than its factorization.

53527672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12299590 (or 12299576 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 47.

The spelling of 53527672064 in words is "fifty-three billion, five hundred twenty-seven million, six hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 12299557 24599114 49198228 98396456 196792912 209092469 393585824 418184938 787171648 836369876 1574343296 1672739752 3148686592 3345479504 6690959008 13381918016 26763836032 53527672064