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424460664096 = 2537295926257
BaseRepresentation
bin1100010110100111101…
…00111011110100100000
31111120121101121212000220
412023103310323310200
523423243412222341
6522554453043040
742444350054340
oct6132364736440
91446541555026
10424460664096
11154015a85377
126a31b026480
13310461c9291
1416788a74d20
15b094082a66
hex62d3d3bd20

424460664096 has 288 divisors, whose sum is σ = 1340211277440. Its totient is φ = 115089580032.

The previous prime is 424460664029. The next prime is 424460664149. The reversal of 424460664096 is 690466064424.

It is a happy 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, 67834600 + ... + 67840856.

It is an arithmetic number, because the mean of its divisors is an integer number (4653511380).

Almost surely, 2424460664096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424460664096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670105638720).

424460664096 is an abundant number, since it is smaller than the sum of its proper divisors (915750613344).

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

424460664096 is a wasteful number, since it uses less digits than its factorization.

424460664096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 424460664096 in words is "four hundred twenty-four billion, four hundred sixty million, six hundred sixty-four thousand, ninety-six".