| Base | Representation |
|---|---|
| bin | 1001010110110101000001… |
| … | …0000011010000000000000 |
| 3 | 1100102111120222211011010000 |
| 4 | 2111231100100122000000 |
| 5 | 2322023400021331000 |
| 6 | 33514051423040000 |
| 7 | 2111161050644550 |
| oct | 225552020320000 |
| 9 | 40374528734100 |
| 10 | 10287793152000 |
| 11 | 3307035039791 |
| 12 | 11a1a15140000 |
| 13 | 59819a00b340 |
| 14 | 277d08dab160 |
| 15 | 12c920b23000 |
| hex | 95b5041a000 |
10287793152000 has 4480 divisors, whose sum is σ = 49875115530240. Its totient is φ = 2051171942400.
The previous prime is 10287793151989. The next prime is 10287793152011. The reversal of 10287793152000 is 25139778201.
10287793152000 is a `hidden beast` number, since 1 + 0 + 28 + 7 + 79 + 31 + 520 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10287793151989) and next prime (10287793152011).
It is a tau number, because it is divible by the number of its divisors (4480).
It is a Harshad number since it is a multiple of its sum of digits (45).
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 319 ways as a sum of consecutive naturals, for example, 218889215977 + ... + 218889216023.
It is an arithmetic number, because the mean of its divisors is an integer number (11132838288).
Almost surely, 210287793152000 is an apocalyptic number.
10287793152000 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 10287793152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24937557765120).
10287793152000 is an abundant number, since it is smaller than the sum of its proper divisors (39587322378240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10287793152000 is an equidigital number, since it uses as much as digits as its factorization.
10287793152000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 149 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 211680, while the sum is 45.
The spelling of 10287793152000 in words is "ten trillion, two hundred eighty-seven billion, seven hundred ninety-three million, one hundred fifty-two thousand".
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