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5182511940 = 2232528791733
BaseRepresentation
bin1001101001110011…
…01101101101000100
3111101011210212212200
410310321231231010
541103210340230
62214131114500
7242266424154
oct46471555504
914334725780
105182511940
11221a435a21
121007742a30
13647901c18
14372410764
15204ea9160
hex134e6db44

5182511940 has 36 divisors (see below), whose sum is σ = 15720286764. Its totient is φ = 1382003136.

The previous prime is 5182511843. The next prime is 5182511969. The reversal of 5182511940 is 491152815.

5182511940 is a `hidden beast` number, since 51 + 8 + 2 + 511 + 94 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1334294784 + 3848217156 = 36528^2 + 62034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5182511895 and 5182511904.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14395687 + ... + 14396046.

Almost surely, 25182511940 is an apocalyptic number.

It is an amenable number.

5182511940 is an abundant number, since it is smaller than the sum of its proper divisors (10537774824).

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

5182511940 is a wasteful number, since it uses less digits than its factorization.

5182511940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28791748 (or 28791743 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 5182511940 is about 71989.6655083214. The cubic root of 5182511940 is about 1730.5338702270.

The spelling of 5182511940 in words is "five billion, one hundred eighty-two million, five hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 28791733 57583466 86375199 115166932 143958665 172750398 259125597 287917330 345500796 431875995 518251194 575834660 863751990 1036502388 1295627985 1727503980 2591255970 5182511940