Base | Representation |
---|---|
bin | 1011000100100110110… |
… | …00011111000101001000 |
3 | 1100100221210202202221000 |
4 | 11202103120133011020 |
5 | 22213110011312220 |
6 | 450433402415000 |
7 | 36325255605510 |
oct | 5422330370510 |
9 | 1310853682830 |
10 | 380429791560 |
11 | 137380777115 |
12 | 61891201460 |
13 | 29b4a006150 |
14 | 145acdd8840 |
15 | 9d68778390 |
hex | 589361f148 |
380429791560 has 2048 divisors, whose sum is σ = 1727889408000. Its totient is φ = 72260812800.
The previous prime is 380429791541. The next prime is 380429791601. The reversal of 380429791560 is 65197924083.
380429791560 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 2 + 9 + 79 + 1 + 560 = 666.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 380429791497 and 380429791506.
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 511 ways as a sum of consecutive naturals, for example, 4274491996 + ... + 4274492084.
It is an arithmetic number, because the mean of its divisors is an integer number (843696000).
It is a 1-persistent number, because it is pandigital, but 2⋅380429791560 = 760859583120 is not.
Almost surely, 2380429791560 is an apocalyptic number.
380429791560 is a gapful number since it is divisible by the number (30) 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 380429791560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863944704000).
380429791560 is an abundant number, since it is smaller than the sum of its proper divisors (1347459616440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
380429791560 is a wasteful number, since it uses less digits than its factorization.
380429791560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 244 (or 234 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 380429791560 in words is "three hundred eighty billion, four hundred twenty-nine million, seven hundred ninety-one thousand, five hundred sixty".
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