Base | Representation |
---|---|
bin | 1011110111111000110… |
… | …11011000001000000000 |
3 | 1110000000120101220010210 |
4 | 11323330123120020000 |
5 | 23141001230222320 |
6 | 511225400354120 |
7 | 41321451311121 |
oct | 5737433301000 |
9 | 1400016356123 |
10 | 407961960960 |
11 | 148019989524 |
12 | 67095775940 |
13 | 2c617023348 |
14 | 15a617a8048 |
15 | a92a8cd0e0 |
hex | 5efc6d8200 |
407961960960 has 160 divisors (see below), whose sum is σ = 1306829304000. Its totient is φ = 108570820608.
The previous prime is 407961960941. The next prime is 407961961013. The reversal of 407961960960 is 69069169704.
It is a Cunningham number, because it is equal to 6387192-1.
It is a tau number, because it is divible by the number of its divisors (160).
It is a self number, because there is not a number n which added to its sum of digits gives 407961960960.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3779094 + ... + 3885546.
It is an arithmetic number, because the mean of its divisors is an integer number (8167683150).
Almost surely, 2407961960960 is an apocalyptic number.
407961960960 is a gapful number since it is divisible by the number (40) 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 407961960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653414652000).
407961960960 is an abundant number, since it is smaller than the sum of its proper divisors (898867343040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
407961960960 is a wasteful number, since it uses less digits than its factorization.
407961960960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 106978 (or 106962 counting only the distinct ones).
The product of its (nonzero) digits is 4408992, while the sum is 57.
The spelling of 407961960960 in words is "four hundred seven billion, nine hundred sixty-one million, nine hundred sixty thousand, nine hundred sixty".
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