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10542578769 = 321171397641
BaseRepresentation
bin10011101000110001…
…01111110001010001
31000012201201111021100
421310120233301101
5133042400010034
64502044015013
7522153304152
oct116430576121
930181644240
1010542578769
114520013518
122062831469
13cc022cab8
1472023d929
1541a837099
hex27462fc51

10542578769 has 6 divisors (see below), whose sum is σ = 15228169346. Its totient is φ = 7028385840.

The previous prime is 10542578729. The next prime is 10542578777. The reversal of 10542578769 is 96787524501.

10542578769 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 578 + 7 + 69 = 666.

10542578769 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 only one way, i.e., 10376478225 + 166100544 = 101865^2 + 12888^2 .

It is not a de Polignac number, because 10542578769 - 29 = 10542578257 is a prime.

It is a super-2 number, since 2×105425787692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10542578719) 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 5 ways as a sum of consecutive naturals, for example, 585698812 + ... + 585698829.

Almost surely, 210542578769 is an apocalyptic number.

It is an amenable number.

10542578769 is a deficient number, since it is larger than the sum of its proper divisors (4685590577).

10542578769 is a wasteful number, since it uses less digits than its factorization.

10542578769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171397647 (or 1171397644 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 10542578769 in words is "ten billion, five hundred forty-two million, five hundred seventy-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 9 1171397641 3514192923 10542578769