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5064113034 = 2341710211801
BaseRepresentation
bin1001011011101100…
…00011101110001010
3111001221000121010000
410231312003232022
540332403104114
62154301303430
7236331151641
oct45566035612
914057017100
105064113034
112169618092
12b93b64b76
136292189b6
143607d0358
151e98bce09
hex12dd83b8a

5064113034 has 80 divisors (see below), whose sum is σ = 12033301896. Its totient is φ = 1586304000.

The previous prime is 5064113009. The next prime is 5064113039. The reversal of 5064113034 is 4303114605.

5064113034 is a `hidden beast` number, since 5 + 0 + 641 + 13 + 0 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4251692025 + 812421009 = 65205^2 + 28503^2 .

It is a super-2 number, since 2×50641130342 = 51290481642257370312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5064112989 and 5064113007.

It is not an unprimeable number, because it can be changed into a prime (5064113039) 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 39 ways as a sum of consecutive naturals, for example, 2810934 + ... + 2812734.

Almost surely, 25064113034 is an apocalyptic number.

5064113034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5064113034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016650948).

5064113034 is an abundant number, since it is smaller than the sum of its proper divisors (6969188862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5064113034 is a wasteful number, since it uses less digits than its factorization.

5064113034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5064113034 is about 71162.5816985303. The cubic root of 5064113034 is about 1717.2537111800.

Adding to 5064113034 its reverse (4303114605), we get a palindrome (9367227639).

The spelling of 5064113034 in words is "five billion, sixty-four million, one hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1021 1377 1801 2042 2754 3063 3602 5403 6126 9189 10806 16209 17357 18378 27567 30617 32418 34714 48627 52071 55134 61234 82701 91851 97254 104142 145881 156213 165402 183702 275553 291762 312426 468639 551106 826659 937278 1405917 1653318 1838821 2479977 2811834 3677642 4959954 5516463 11032926 16549389 31259957 33098778 49648167 62519914 93779871 99296334 148944501 187559742 281339613 297889002 562679226 844018839 1688037678 2532056517 5064113034