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106712636648 = 23103349137097
BaseRepresentation
bin110001101100010010…
…0011001110011101000
3101012102222122121121212
41203120210121303220
53222021413333043
6121004554052252
710465303305512
oct1433044316350
9335388577555
10106712636648
11412905573a2
1218821a1a088
13a0a84205a7
145244776bb2
152b986de018
hex18d8919ce8

106712636648 has 32 divisors (see below), whose sum is σ = 202092096960. Its totient is φ = 52821736320.

The previous prime is 106712636633. The next prime is 106712636683. The reversal of 106712636648 is 846636217601.

It is a super-2 number, since 2×1067126366482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106712636596 and 106712636605.

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 7 ways as a sum of consecutive naturals, for example, 2858036 + ... + 2895132.

It is an arithmetic number, because the mean of its divisors is an integer number (6315378030).

Almost surely, 2106712636648 is an apocalyptic number.

It is an amenable number.

106712636648 is a deficient number, since it is larger than the sum of its proper divisors (95379460312).

106712636648 is a wasteful number, since it uses less digits than its factorization.

106712636648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40697 (or 40693 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 106712636648 in words is "one hundred six billion, seven hundred twelve million, six hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 103 206 412 824 3491 6982 13964 27928 37097 74194 148388 296776 359573 719146 1438292 2876584 3820991 7641982 15283964 30567928 129505627 259011254 518022508 1036045016 13339079581 26678159162 53356318324 106712636648