Base | Representation |
---|---|
bin | 1011011010101011001011001… |
… | …1110101000101111010000000 |
3 | 10220100112212201200020111010000 |
4 | 2312222302303311011322000 |
5 | 1320300130432330102010 |
6 | 11524354030053040000 |
7 | 331135445113310640 |
oct | 26652626365057200 |
9 | 3810485650214100 |
10 | 803385239690880 |
11 | 212a8a848660690 |
12 | 76131537326000 |
13 | 28637b97c60bc2 |
14 | 102560a58bc520 |
15 | 62d2d6162e7c0 |
hex | 2daacb3d45e80 |
803385239690880 has 5120 divisors, whose sum is σ = 3789207332951040. Its totient is φ = 157373300736000.
The previous prime is 803385239690809. The next prime is 803385239690927. The reversal of 803385239690880 is 88096932583308.
803385239690880 is a `hidden beast` number, since 8 + 0 + 3 + 3 + 8 + 523 + 9 + 6 + 90 + 8 + 8 + 0 = 666.
803385239690880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 803385239690799 and 803385239690808.
It is an unprimeable number.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1096023518994 + ... + 1096023519726.
It is an arithmetic number, because the mean of its divisors is an integer number (740079557217).
Almost surely, 2803385239690880 is an apocalyptic number.
803385239690880 is a gapful number since it is divisible by the number (80) 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 803385239690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894603666475520).
803385239690880 is an abundant number, since it is smaller than the sum of its proper divisors (2985822093260160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
803385239690880 is a wasteful number, since it uses less digits than its factorization.
803385239690880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1041 (or 1020 counting only the distinct ones).
The product of its (nonzero) digits is 537477120, while the sum is 72.
The spelling of 803385239690880 in words is "eight hundred three trillion, three hundred eighty-five billion, two hundred thirty-nine million, six hundred ninety thousand, eight hundred eighty".
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