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485735424000 = 2133531771131
BaseRepresentation
bin1110001000110000001…
…01100110000000000000
31201102202201220011121220
413010120011212000000
530424241232032000
61011051015515040
750043655660251
oct7043005460000
91642681804556
10485735424000
11177aa9a90412
127a17b988a80
1336a5ca94b68
141971c958b28
15c97d68c1a0
hex7118166000

485735424000 has 896 divisors, whose sum is σ = 1748867687424. Its totient is φ = 119275520000.

The previous prime is 485735423969. The next prime is 485735424011. The reversal of 485735424000 is 424537584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3707903935 + ... + 3707904065.

Almost surely, 2485735424000 is an apocalyptic number.

485735424000 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 485735424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874433843712).

485735424000 is an abundant number, since it is smaller than the sum of its proper divisors (1263132263424).

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

485735424000 is a wasteful number, since it uses less digits than its factorization.

485735424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 485735424000 in words is "four hundred eighty-five billion, seven hundred thirty-five million, four hundred twenty-four thousand".