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1819518740 = 2251367710337
BaseRepresentation
bin110110001110011…
…1010011100010100
311200210202010110222
41230130322130110
512211244044430
6500314333512
763042440234
oct15434723424
94623663428
101819518740
118540863a6
1242942a298
1322cc65410
14133917cc4
15a9b119e5
hex6c73a714

1819518740 has 48 divisors (see below), whose sum is σ = 4121388432. Its totient is φ = 670765056.

The previous prime is 1819518733. The next prime is 1819518749. The reversal of 1819518740 is 478159181.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71944324 + 1747574416 = 8482^2 + 41804^2 .

It is a super-2 number, since 2×18195187402 = 6621296890422375200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1819518691 and 1819518700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1819518749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170852 + ... + 181188.

It is an arithmetic number, because the mean of its divisors is an integer number (85862259).

Almost surely, 21819518740 is an apocalyptic number.

1819518740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1819518740 is an abundant number, since it is smaller than the sum of its proper divisors (2301869692).

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

1819518740 is a wasteful number, since it uses less digits than its factorization.

1819518740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 44.

The square root of 1819518740 is about 42655.8171882804. The cubic root of 1819518740 is about 1220.8215240762.

The spelling of 1819518740 in words is "one billion, eight hundred nineteen million, five hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 677 1354 2708 3385 6770 8801 10337 13540 17602 20674 35204 41348 44005 51685 88010 103370 134381 176020 206740 268762 537524 671905 1343810 2687620 6998149 13996298 27992596 34990745 69981490 90975937 139962980 181951874 363903748 454879685 909759370 1819518740