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106005501064 = 2382393717183
BaseRepresentation
bin110001010111001101…
…0111001010010001000
3101010121201001101222001
41202232122321102020
53214044402013224
6120410453440344
710441625614651
oct1425632712210
9333551041861
10106005501064
1140a58383a21
12186650400b4
139cc4a83378
1451b88a2528
152b565ac544
hex18ae6b9488

106005501064 has 32 divisors (see below), whose sum is σ = 199225797120. Its totient is φ = 52878773376.

The previous prime is 106005501061. The next prime is 106005501079. The reversal of 106005501064 is 460105500601.

It is a super-2 number, since 2×1060055010642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005501061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6160617 + ... + 6177799.

It is an arithmetic number, because the mean of its divisors is an integer number (6225806160).

Almost surely, 2106005501064 is an apocalyptic number.

It is an amenable number.

106005501064 is a deficient number, since it is larger than the sum of its proper divisors (93220296056).

106005501064 is a wasteful number, since it uses less digits than its factorization.

106005501064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18945 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 106005501064 in words is "one hundred six billion, five million, five hundred one thousand, sixty-four".

Divisors: 1 2 4 8 823 937 1646 1874 3292 3748 6584 7496 17183 34366 68732 137464 771151 1542302 3084604 6169208 14141609 16100471 28283218 32200942 56566436 64401884 113132872 128803768 13250687633 26501375266 53002750532 106005501064