| Base | Representation |
|---|---|
| bin | 11000011101101011101… |
| … | …011110010000000000000 |
| 3 | 12221201022110100020000000 |
| 4 | 120131223223302000000 |
| 5 | 210020433021224330 |
| 6 | 3324145440000000 |
| 7 | 232313121315300 |
| oct | 30355353620000 |
| 9 | 5851273306000 |
| 10 | 1681138851840 |
| 11 | 598a70066838 |
| 12 | 231996000000 |
| 13 | c26b8c92886 |
| 14 | 5b5207d9600 |
| 15 | 2dae4a60560 |
| hex | 1876baf2000 |
1681138851840 has 1344 divisors, whose sum is σ = 7057072926720. Its totient is φ = 383257018368.
The previous prime is 1681138851839. The next prime is 1681138851841. The reversal of 1681138851840 is 481588311861.
1681138851840 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 1 + 3 + 88 + 518 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (1681138851839) and next prime (1681138851841).
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (1681138851841) 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 95 ways as a sum of consecutive naturals, for example, 4389396289 + ... + 4389396671.
Almost surely, 21681138851840 is an apocalyptic number.
1681138851840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1681138851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528536463360).
1681138851840 is an abundant number, since it is smaller than the sum of its proper divisors (5375934074880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1681138851840 is an frugal number, since it uses more digits than its factorization.
1681138851840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 449 (or 400 counting only the distinct ones).
The product of its (nonzero) digits is 1474560, while the sum is 54.
The spelling of 1681138851840 in words is "one trillion, six hundred eighty-one billion, one hundred thirty-eight million, eight hundred fifty-one thousand, eight hundred forty".
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