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1816182084964 = 2213217230492
BaseRepresentation
bin11010011011011100111…
…000110101010101100100
320102121212212000020212211
4122123130320311111210
5214224020103204324
63510201553053204
7245133454002232
oct32333470652544
96377785006784
101816182084964
11640269491625
12253ba3857204
1310235a952300
1463c919bb952
153239a51a294
hex1a6dce35564

1816182084964 has 81 divisors (see below), whose sum is σ = 3657167196417. Its totient is φ = 788671024128.

The previous prime is 1816182084923. The next prime is 1816182084979. The reversal of 1816182084964 is 4694802816181.

The square root of 1816182084964 is 1347658.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1714114614564 + 102067470400 = 1309242^2 + 319480^2 .

It is a super-2 number, since 2×18161820849642 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1816182084899 and 1816182084908.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 595663312 + ... + 595666360.

Almost surely, 21816182084964 is an apocalyptic number.

1816182084964 is the 1347658-th square number.

It is an amenable number.

1816182084964 is an abundant number, since it is smaller than the sum of its proper divisors (1840985111453).

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

1816182084964 is an equidigital number, since it uses as much as digits as its factorization.

1816182084964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 58.

The spelling of 1816182084964 in words is "one trillion, eight hundred sixteen billion, one hundred eighty-two million, eighty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 676 884 1156 2873 3049 3757 5746 6098 7514 11492 12196 15028 39637 48841 51833 79274 97682 103666 158548 195364 207332 515281 673829 881161 1030562 1347658 1762322 2061124 2695316 3524644 8759777 9296401 11455093 17519554 18592802 22910186 35039108 37185604 45820372 120853213 148916209 158038817 241706426 297832418 316077634 483412852 595664836 632155268 1571091769 2054504621 2686659889 3142183538 4109009242 5373319778 6284367076 8218018484 10746639556 26708560073 34926578557 53417120146 69853157114 106834240292 139706314228 454045521241 908091042482 1816182084964