Base | Representation |
---|---|
bin | 11101100001010110… |
… | …101101011000000000 |
3 | 10000211002121000221000 |
4 | 131201112231120000 |
5 | 1004404204122143 |
6 | 22321212332000 |
7 | 2201336344446 |
oct | 354126553000 |
9 | 100732530830 |
10 | 31698114048 |
11 | 12496839277 |
12 | 6187774000 |
13 | 2cb2131103 |
14 | 1769b9cb96 |
15 | c57c58bd3 |
hex | 7615ad600 |
31698114048 has 640 divisors, whose sum is σ = 108421632000. Its totient is φ = 9077391360.
The previous prime is 31698114037. The next prime is 31698114059. The reversal of 31698114048 is 84041189613.
31698114048 is a `hidden beast` number, since 3 + 169 + 81 + 1 + 404 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (31698114037) and next prime (31698114059).
It is a junction number, because it is equal to n+sod(n) for n = 31698113994 and 31698114012.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138419598 + ... + 138419826.
It is an arithmetic number, because the mean of its divisors is an integer number (169408800).
Almost surely, 231698114048 is an apocalyptic number.
31698114048 is a gapful number since it is divisible by the number (38) 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 31698114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54210816000).
31698114048 is an abundant number, since it is smaller than the sum of its proper divisors (76723517952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31698114048 is a wasteful number, since it uses less digits than its factorization.
31698114048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 323 (or 301 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 45.
The spelling of 31698114048 in words is "thirty-one billion, six hundred ninety-eight million, one hundred fourteen thousand, forty-eight".
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