Base | Representation |
---|---|
bin | 11101010001110001… |
… | …011111110100100110 |
3 | 10000010212200212121000 |
4 | 131101301133310212 |
5 | 1003340243412331 |
6 | 22235233334130 |
7 | 2162013356256 |
oct | 352161376446 |
9 | 100125625530 |
10 | 31436700966 |
11 | 1237221a800 |
12 | 6114107346 |
13 | 2c6cc23908 |
14 | 1743191966 |
15 | c3ed1d0e6 |
hex | 751c5fd26 |
31436700966 has 96 divisors (see below), whose sum is σ = 78422077440. Its totient is φ = 9323495280.
The previous prime is 31436700949. The next prime is 31436700989. The reversal of 31436700966 is 66900763413.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255915 + ... + 358281.
It is an arithmetic number, because the mean of its divisors is an integer number (816896640).
Almost surely, 231436700966 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31436700966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39211038720).
31436700966 is an abundant number, since it is smaller than the sum of its proper divisors (46985376474).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31436700966 is a wasteful number, since it uses less digits than its factorization.
31436700966 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 102447 (or 102430 counting only the distinct ones).
The product of its (nonzero) digits is 489888, while the sum is 45.
The spelling of 31436700966 in words is "thirty-one billion, four hundred thirty-six million, seven hundred thousand, nine hundred sixty-six".
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