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106765210624 = 210762113681
BaseRepresentation
bin110001101101110110…
…0111101010000000000
3101012120122120122120011
41203123230331100000
53222123343214444
6121014112554304
710466512213432
oct1433354752000
9335518518504
10106765210624
11413081a5a66
1218837552994
13a0b629a457
14524b740652
152b9d126734
hex18dbb3d400

106765210624 has 44 divisors (see below), whose sum is σ = 213469765588. Its totient is φ = 53371699200.

The previous prime is 106765210613. The next prime is 106765210633. The reversal of 106765210624 is 426012567601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97363969024 + 9401241600 = 312032^2 + 96960^2 .

It is a super-2 number, since 2×1067652106242 (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 7797064 + ... + 7810744.

Almost surely, 2106765210624 is an apocalyptic number.

It is an amenable number.

106765210624 is a deficient number, since it is larger than the sum of its proper divisors (106704554964).

106765210624 is an equidigital number, since it uses as much as digits as its factorization.

106765210624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21322 (or 21304 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 106765210624 in words is "one hundred six billion, seven hundred sixty-five million, two hundred ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 7621 13681 15242 27362 30484 54724 60968 109448 121936 218896 243872 437792 487744 875584 975488 1751168 1950976 3502336 3901952 7004672 7803904 14009344 104262901 208525802 417051604 834103208 1668206416 3336412832 6672825664 13345651328 26691302656 53382605312 106765210624