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400605346648 = 231318121281627
BaseRepresentation
bin1011101010001011111…
…00000111101101011000
31102022000212122011111001
411311011330013231120
523030414432043043
6504011402514344
740641242156023
oct5650574075530
91368025564431
10400605346648
11144994302291
1265781b059b4
132ba13b89720
141556473c1ba
15a649b2074d
hex5d45f07b58

400605346648 has 32 divisors (see below), whose sum is σ = 813383822160. Its totient is φ = 183873248640.

The previous prime is 400605346577. The next prime is 400605346679. The reversal of 400605346648 is 846643506004.

It is a junction number, because it is equal to n+sod(n) for n = 400605346598 and 400605346607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10621990 + ... + 10659637.

Almost surely, 2400605346648 is an apocalyptic number.

It is an amenable number.

400605346648 is an abundant number, since it is smaller than the sum of its proper divisors (412778475512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400605346648 is a wasteful number, since it uses less digits than its factorization.

400605346648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21281827 (or 21281823 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

It can be divided in two parts, 400605 and 346648, that added together give a triangular number (747253 = T1222).

The spelling of 400605346648 in words is "four hundred billion, six hundred five million, three hundred forty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1448 2353 4706 9412 18824 21281627 42563254 85126508 170253016 276661151 553322302 1106644604 2213289208 3851974487 7703948974 15407897948 30815795896 50075668331 100151336662 200302673324 400605346648