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10542794661 = 327768121787
BaseRepresentation
bin10011101000110011…
…00100011110100101
31000012202010110102100
421310121210132211
5133042423412121
64502052402313
7522155163450
oct116431443645
930182113370
1010542794661
114520150743
122062916399
13cc02a7149
14720298497
1541a87b026
hex2746647a5

10542794661 has 24 divisors (see below), whose sum is σ = 17407043264. Its totient is φ = 6023393280.

The previous prime is 10542794659. The next prime is 10542794701. The reversal of 10542794661 is 16649724501.

10542794661 is a `hidden beast` number, since 1 + 0 + 542 + 7 + 9 + 46 + 61 = 666.

10542794661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10542794661 - 21 = 10542794659 is a prime.

It is a super-2 number, since 2×105427946612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542794611) 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, 473010 + ... + 494796.

Almost surely, 210542794661 is an apocalyptic number.

It is an amenable number.

10542794661 is a deficient number, since it is larger than the sum of its proper divisors (6864248603).

10542794661 is a wasteful number, since it uses less digits than its factorization.

10542794661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29481 (or 29478 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10542794661 in words is "ten billion, five hundred forty-two million, seven hundred ninety-four thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 63 7681 21787 23043 53767 65361 69129 152509 161301 196083 457527 483903 1372581 167345947 502037841 1171421629 1506113523 3514264887 10542794661