| Base | Representation |
|---|---|
| bin | 101010110001000100010… |
| … | …111110111010000000000 |
| 3 | 101101221211022202100000000 |
| 4 | 222301010113313100000 |
| 5 | 341122334103034033 |
| 6 | 10130040400000000 |
| 7 | 422220541042110 |
| oct | 52610427672000 |
| 9 | 11357738670000 |
| 10 | 2938904736768 |
| 11 | a3342311a1a0 |
| 12 | 3b56b5300000 |
| 13 | 1841a31c0080 |
| 14 | a235abb9040 |
| 15 | 516aac93a13 |
| hex | 2ac445f7400 |
2938904736768 has 3168 divisors, whose sum is σ = 12995637258240. Its totient is φ = 638522818560.
The previous prime is 2938904736751. The next prime is 2938904736809. The reversal of 2938904736768 is 8676374098392.
2938904736768 is a `hidden beast` number, since 2 + 9 + 3 + 8 + 90 + 473 + 6 + 7 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (3168).
It is a super-3 number, since 3×29389047367683 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 2938904736696 and 2938904736705.
It is a congruent number.
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 287 ways as a sum of consecutive naturals, for example, 127778466805 + ... + 127778466827.
Almost surely, 22938904736768 is an apocalyptic number.
2938904736768 is a gapful number since it is divisible by the number (28) 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 2938904736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497818629120).
2938904736768 is an abundant number, since it is smaller than the sum of its proper divisors (10056732521472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2938904736768 is a wasteful number, since it uses less digits than its factorization.
2938904736768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 658409472, while the sum is 72.
The spelling of 2938904736768 in words is "two trillion, nine hundred thirty-eight billion, nine hundred four million, seven hundred thirty-six thousand, seven hundred sixty-eight".
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