Base | Representation |
---|---|
bin | 1110100010011010110001… |
… | …11111110000011010000000 |
3 | 11012012012102000200110220000 |
4 | 13101031120333300122000 |
5 | 13142234334240124410 |
6 | 151554154214520000 |
7 | 6506452001213502 |
oct | 721153077603200 |
9 | 135165360613800 |
10 | 31968934692480 |
11 | a205a49229575 |
12 | 3703963666000 |
13 | 14ab8719b6646 |
14 | 7c743a123d72 |
15 | 3a68ba89adc0 |
hex | 1d1358ff0680 |
31968934692480 has 640 divisors, whose sum is σ = 118572654816000. Its totient is φ = 8202210287616.
The previous prime is 31968934692473. The next prime is 31968934692481. The reversal of 31968934692480 is 8429643986913.
31968934692480 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 89 + 3 + 4 + 69 + 2 + 480 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
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 = 31968934692399 and 31968934692408.
It is not an unprimeable number, because it can be changed into a prime (31968934692481) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143641126 + ... + 143863514.
It is an arithmetic number, because the mean of its divisors is an integer number (185269773150).
Almost surely, 231968934692480 is an apocalyptic number.
31968934692480 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 31968934692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59286327408000).
31968934692480 is an abundant number, since it is smaller than the sum of its proper divisors (86603720123520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31968934692480 is a wasteful number, since it uses less digits than its factorization.
31968934692480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222526 (or 222505 counting only the distinct ones).
The product of its (nonzero) digits is 483729408, while the sum is 72.
The spelling of 31968934692480 in words is "thirty-one trillion, nine hundred sixty-eight billion, nine hundred thirty-four million, six hundred ninety-two thousand, four hundred eighty".
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