Base | Representation |
---|---|
bin | 10101111010100100010011… |
… | …01001010010100000000000 |
3 | 20022122002120100120020000000 |
4 | 22331102021221102200000 |
5 | 22304033343121112032 |
6 | 250255005440000000 |
7 | 13102513531203000 |
oct | 1275221151224000 |
9 | 208562510506000 |
10 | 48191842363392 |
11 | 143a0055723372 |
12 | 54a3a9a600000 |
13 | 20b76183c3b80 |
14 | bc86d765a000 |
15 | 5888a8d6de7c |
hex | 2bd489a52800 |
48191842363392 has 3072 divisors, whose sum is σ = 192555417600000. Its totient is φ = 11946181459968.
The previous prime is 48191842363367. The next prime is 48191842363447. The reversal of 48191842363392 is 29336324819184.
48191842363392 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 1 + 8 + 4 + 236 + 3 + 392 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
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 255 ways as a sum of consecutive naturals, for example, 379463325633 + ... + 379463325759.
It is an arithmetic number, because the mean of its divisors is an integer number (62680800000).
Almost surely, 248191842363392 is an apocalyptic number.
48191842363392 is a gapful number since it is divisible by the number (42) 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 48191842363392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96277708800000).
48191842363392 is an abundant number, since it is smaller than the sum of its proper divisors (144363575236608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48191842363392 is an equidigital number, since it uses as much as digits as its factorization.
48191842363392 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 223 (or 171 counting only the distinct ones).
The product of its digits is 53747712, while the sum is 63.
The spelling of 48191842363392 in words is "forty-eight trillion, one hundred ninety-one billion, eight hundred forty-two million, three hundred sixty-three thousand, three hundred ninety-two".
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