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106302061856 = 254181022913
BaseRepresentation
bin110001100000000011…
…0001011110100100000
3101011101101002020220002
41203000012023310200
53220201311434411
6120500130035132
710452156421454
oct1430006136440
9334341066802
10106302061856
114109a819491
1218728418aa8
13a041348923
14520601c664
152b7263c33b
hex18c018bd20

106302061856 has 24 divisors (see below), whose sum is σ = 214386630444. Its totient is φ = 51854663680.

The previous prime is 106302061849. The next prime is 106302061861. The reversal of 106302061856 is 658160203601.

It can be written as a sum of positive squares in 2 ways, for example, as 103243971856 + 3058090000 = 321316^2 + 55300^2 .

It is a super-2 number, since 2×1063020618562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40510145 + ... + 40512768.

Almost surely, 2106302061856 is an apocalyptic number.

106302061856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106302061856 is an abundant number, since it is smaller than the sum of its proper divisors (108084568588).

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

106302061856 is an equidigital number, since it uses as much as digits as its factorization.

106302061856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81022964 (or 81022956 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 106302061856 in words is "one hundred six billion, three hundred two million, sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 81022913 162045826 324091652 648183304 1296366608 2592733216 3321939433 6643878866 13287757732 26575515464 53151030928 106302061856