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106552044049 = 11174712123341
BaseRepresentation
bin110001100111011111…
…1110010101000010001
3101012000210110122222211
41203032333302220101
53221204310402144
6120541020032121
710461313300513
oct1431677625021
9335023418884
10106552044049
114120893a840
1218798092641
13a081083199
14522b2d1bb3
152b8956b034
hex18ceff2a11

106552044049 has 16 divisors (see below), whose sum is σ = 125694809856. Its totient is φ = 89227782400.

The previous prime is 106552044047. The next prime is 106552044073. The reversal of 106552044049 is 940440255601.

It is a cyclic number.

It is not a de Polignac number, because 106552044049 - 21 = 106552044047 is a prime.

It is a super-2 number, since 2×1065520440492 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106552044047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6052882 + ... + 6070459.

It is an arithmetic number, because the mean of its divisors is an integer number (7855925616).

Almost surely, 2106552044049 is an apocalyptic number.

It is an amenable number.

106552044049 is a deficient number, since it is larger than the sum of its proper divisors (19142765807).

106552044049 is a wasteful number, since it uses less digits than its factorization.

106552044049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12123416.

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 106552044049 in words is "one hundred six billion, five hundred fifty-two million, forty-four thousand, forty-nine".

Divisors: 1 11 17 47 187 517 799 8789 12123341 133356751 206096797 569797027 2267064767 6267767297 9686549459 106552044049