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6135882642 = 2323724992
BaseRepresentation
bin1011011011011101…
…00010001110010010
3120211121202010121200
411231232202032102
5100031241221032
62452505132030
7305024066451
oct55556421622
916747663550
106135882642
11266960049a
121232a8a016
1376a293cb6
14422ca0b98
1525da2947c
hex16dba2392

6135882642 has 54 divisors (see below), whose sum is σ = 13690868373. Its totient is φ = 1986027984.

The previous prime is 6135882601. The next prime is 6135882659. The reversal of 6135882642 is 2462885316.

6135882642 is a `hidden beast` number, since 6 + 1 + 3 + 588 + 2 + 64 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4950388881 + 1185493761 = 70359^2 + 34431^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=55389.

Its product of digits (552960) is a multiple of the sum of its prime factors (1080).

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 26 ways as a sum of consecutive naturals, for example, 12296109 + ... + 12296607.

Almost surely, 26135882642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6135882642

6135882642 is an abundant number, since it is smaller than the sum of its proper divisors (7554985731).

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

6135882642 is an equidigital number, since it uses as much as digits as its factorization.

6135882642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 541 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 6135882642 is about 78331.8750062834. The cubic root of 6135882642 is about 1830.7358305772.

The spelling of 6135882642 in words is "six billion, one hundred thirty-five million, eight hundred eighty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 499 666 998 1369 1497 2738 2994 4107 4491 8214 8982 12321 18463 24642 36926 55389 110778 166167 249001 332334 498002 683131 747003 1366262 1494006 2049393 2241009 4098786 4482018 6148179 9213037 12296358 18426074 27639111 55278222 82917333 165834666 340882369 681764738 1022647107 2045294214 3067941321 6135882642