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3542578013 = 132315677561
BaseRepresentation
bin1101001100100111…
…0111001101011101
3100010212222121110002
43103021313031131
524223344444023
61343305424045
7153534262532
oct32311671535
910125877402
103542578013
111558769327
1282a49b025
13445c26710
142586c2d89
1515b01cb28
hexd327735d

3542578013 has 16 divisors (see below), whose sum is σ = 3984024576. Its totient is φ = 3125485440.

The previous prime is 3542578003. The next prime is 3542578019. The reversal of 3542578013 is 3108752453.

3542578013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3542578013 - 28 = 3542577757 is a prime.

It is a super-3 number, since 3×35425780133 (a number of 30 digits) contains 333 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 (3542578019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464753 + ... + 472313.

It is an arithmetic number, because the mean of its divisors is an integer number (249001536).

Almost surely, 23542578013 is an apocalyptic number.

It is an amenable number.

3542578013 is a deficient number, since it is larger than the sum of its proper divisors (441446563).

3542578013 is a wasteful number, since it uses less digits than its factorization.

3542578013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164.

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 3542578013 is about 59519.5599194080. The cubic root of 3542578013 is about 1524.4264456760.

The spelling of 3542578013 in words is "three billion, five hundred forty-two million, five hundred seventy-eight thousand, thirteen".

Divisors: 1 13 23 299 1567 7561 20371 36041 98293 173903 468533 2260739 11848087 154025131 272506001 3542578013