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6106126032 = 24344711517
BaseRepresentation
bin1011010111111010…
…00001011011010000
3120202112202100020000
411223331001123100
5100001132013112
62445523250000
7304213133466
oct55375013320
916675670200
106106126032
112653826956
121224b19900
13764075a36
1441cd56836
1525b0ec7dc
hex16bf416d0

6106126032 has 50 divisors (see below), whose sum is σ = 17672904018. Its totient is φ = 2035374912.

The previous prime is 6106126027. The next prime is 6106126049. The reversal of 6106126032 is 2306216016.

6106126032 is a `hidden beast` number, since 6 + 10 + 612 + 6 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5319660096 + 786465936 = 72936^2 + 28044^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6106125987 and 6106126005.

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 9 ways as a sum of consecutive naturals, for example, 2354463 + ... + 2357054.

Almost surely, 26106126032 is an apocalyptic number.

It is an amenable number.

6106126032 is an abundant number, since it is smaller than the sum of its proper divisors (11566777986).

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

6106126032 is a wasteful number, since it uses less digits than its factorization.

6106126032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711537 (or 4711522 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6106126032 is about 78141.7048188738. The cubic root of 6106126032 is about 1827.7715847626.

The spelling of 6106126032 in words is "six billion, one hundred six million, one hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4711517 9423034 14134551 18846068 28269102 37692136 42403653 56538204 75384272 84807306 113076408 127210959 169614612 226152816 254421918 339229224 381632877 508843836 678458448 763265754 1017687672 1526531508 2035375344 3053063016 6106126032