| Base | Representation |
|---|---|
| bin | 10101101110011101010… |
| … | …00010000000000000000 |
| 3 | 2122100211120220221000000 |
| 4 | 22313032220100000000 |
| 5 | 44212310434000000 |
| 6 | 1330534024000000 |
| 7 | 104634603206562 |
| oct | 12671650200000 |
| 9 | 2570746827000 |
| 10 | 746496000000 |
| 11 | 268650592683 |
| 12 | 100814000000 |
| 13 | 5551829c78a |
| 14 | 281b8515332 |
| 15 | 14641000000 |
| hex | adcea10000 |
746496000000 has 833 divisors, whose sum is σ = 2798022837193. Its totient is φ = 199065600000.
The previous prime is 746495999993. The next prime is 746496000073. The reversal of 746496000000 is 694647.
The square root of 746496000000 is 864000.
It is a perfect power (a square), and thus also a powerful number.
746496000000 is a `hidden beast` number, since 7 + 4 + 6 + 49 + 600 + 0 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 654002159616 + 92493840384 = 808704^2 + 304128^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 149299199998 + ... + 149299200002.
Almost surely, 2746496000000 is an apocalyptic number.
746496000000 is the 864000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 746496000000
746496000000 is an abundant number, since it is smaller than the sum of its proper divisors (2051526837193).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
746496000000 is an frugal number, since it uses more digits than its factorization.
746496000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
Multiplying 746496000000 by its sum of digits (36), we get a square (26873856000000 = 51840002).
746496000000 divided by its sum of digits (36) gives a square (20736000000 = 1440002).
Adding to 746496000000 its reverse (694647), we get a palindrome (746496694647).
The spelling of 746496000000 in words is "seven hundred forty-six billion, four hundred ninety-six million", and thus it is an aban number.
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