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5142436965 = 325114276377
BaseRepresentation
bin1001100101000001…
…10101110001100101
3111021101101212100100
410302200311301211
541012430440330
62210140134313
7241301664411
oct46240656145
914241355310
105142436965
1121a9854006
12bb6237399
1363c510213
1436ad7bd41
152016e0060
hex132835c65

5142436965 has 12 divisors (see below), whose sum is σ = 8913557484. Its totient is φ = 2742633024.

The previous prime is 5142436939. The next prime is 5142436967. The reversal of 5142436965 is 5696342415.

5142436965 is a `hidden beast` number, since 514 + 2 + 43 + 6 + 96 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1664150436 + 3478286529 = 40794^2 + 58977^2 .

It is not a de Polignac number, because 5142436965 - 27 = 5142436837 is a prime.

It is a super-2 number, since 2×51424369652 = 52889315877996822450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 114276377 = 5142436965 / (5 + 1 + 4 + 2 + 4 + 3 + 6 + 9 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5142436965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142436967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57138144 + ... + 57138233.

It is an arithmetic number, because the mean of its divisors is an integer number (742796457).

Almost surely, 25142436965 is an apocalyptic number.

It is an amenable number.

5142436965 is a deficient number, since it is larger than the sum of its proper divisors (3771120519).

5142436965 is a wasteful number, since it uses less digits than its factorization.

5142436965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114276388 (or 114276385 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 5142436965 is about 71710.7869500816. The cubic root of 5142436965 is about 1726.0617383000.

The spelling of 5142436965 in words is "five billion, one hundred forty-two million, four hundred thirty-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 114276377 342829131 571381885 1028487393 1714145655 5142436965