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56213522145 = 32511147177201
BaseRepresentation
bin110100010110100101…
…100100011011100001
312101002121122210121200
4310112211210123201
51410111130202040
641454002511413
74030011024444
oct642645443341
9171077583550
1056213522145
1121927082220
12aa89965569
1353bb148851
142a13a4165b
1516e0108630
hexd169646e1

56213522145 has 48 divisors (see below), whose sum is σ = 106368297984. Its totient is φ = 27236160000.

The previous prime is 56213522137. The next prime is 56213522207. The reversal of 56213522145 is 54122531265.

56213522145 is a `hidden beast` number, since 5 + 621 + 3 + 5 + 2 + 21 + 4 + 5 = 666.

It is not a de Polignac number, because 56213522145 - 23 = 56213522137 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 689545 + ... + 766745.

It is an arithmetic number, because the mean of its divisors is an integer number (2216006208).

Almost surely, 256213522145 is an apocalyptic number.

56213522145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56213522145 is a deficient number, since it is larger than the sum of its proper divisors (50154775839).

56213522145 is a wasteful number, since it uses less digits than its factorization.

56213522145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78694 (or 78691 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 56213522145 in words is "fifty-six billion, two hundred thirteen million, five hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1471 4413 7355 13239 16181 22065 48543 66195 77201 80905 145629 231603 242715 386005 694809 728145 849211 1158015 2547633 3474045 4246055 7642899 12738165 38214495 113562671 340688013 567813355 1022064039 1249189381 1703440065 3747568143 5110320195 6245946905 11242704429 18737840715 56213522145