Base | Representation |
---|---|
bin | 11101100100000111… |
… | …100010100000000000 |
3 | 10000221022211002221210 |
4 | 131210013202200000 |
5 | 1010003041001432 |
6 | 22325550050120 |
7 | 2202441351165 |
oct | 354407424000 |
9 | 100838732853 |
10 | 31744468992 |
11 | 1250aa1a445 |
12 | 619b1a9940 |
13 | 2cbb911382 |
14 | 1771dc806c |
15 | c5bd638cc |
hex | 7641e2800 |
31744468992 has 144 divisors (see below), whose sum is σ = 88479911520. Its totient is φ = 10120388608.
The previous prime is 31744468979. The next prime is 31744468993. The reversal of 31744468992 is 29986444713.
It is a super-2 number, since 2×317444689922 (a number of 22 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (31744468993) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3245293 + ... + 3255059.
It is an arithmetic number, because the mean of its divisors is an integer number (614443830).
Almost surely, 231744468992 is an apocalyptic number.
31744468992 is a gapful number since it is divisible by the number (32) 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 31744468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44239955760).
31744468992 is an abundant number, since it is smaller than the sum of its proper divisors (56735442528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31744468992 is an equidigital number, since it uses as much as digits as its factorization.
31744468992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9838 (or 9795 counting only the distinct ones).
The product of its digits is 10450944, while the sum is 57.
The spelling of 31744468992 in words is "thirty-one billion, seven hundred forty-four million, four hundred sixty-eight thousand, nine hundred ninety-two".
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