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10342436661 = 323495096469
BaseRepresentation
bin10011010000111010…
…10000111100110101
3222200210010012220200
421220131100330311
5132140130433121
64430134151113
7514203155364
oct115035207465
928623105820
1010342436661
114428043817
1220077b2499
13c8a925c0b
147018217db
15407ea0a26
hex268750f35

10342436661 has 24 divisors (see below), whose sum is σ = 15013635000. Its totient is φ = 6860633472.

The previous prime is 10342436639. The next prime is 10342436681. The reversal of 10342436661 is 16663424301.

10342436661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1609534161 + 8732902500 = 40119^2 + 93450^2 .

It is a de Polignac number, because none of the positive numbers 2k-10342436661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342436681) 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 23 ways as a sum of consecutive naturals, for example, 1595535 + ... + 1602003.

It is an arithmetic number, because the mean of its divisors is an integer number (625568125).

Almost surely, 210342436661 is an apocalyptic number.

It is an amenable number.

10342436661 is a deficient number, since it is larger than the sum of its proper divisors (4671198339).

10342436661 is a wasteful number, since it uses less digits than its factorization.

10342436661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10342436661 in words is "ten billion, three hundred forty-two million, four hundred thirty-six thousand, six hundred sixty-one".

Divisors: 1 3 9 349 509 1047 1527 3141 4581 6469 19407 58221 177641 532923 1598769 2257681 3292721 6773043 9878163 20319129 29634489 1149159629 3447478887 10342436661