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385487424000 = 29355373541
BaseRepresentation
bin1011001110000001101…
…01110100101000000000
31100212000021121010100000
411213000311310220000
522303434240032000
6453031313200000
736564511016550
oct5470065645000
91325007533300
10385487424000
11139536668238
1262862b60000
132a474a93173
141492c9bd160
15a0627b6000
hex59c0d74a00

385487424000 has 960 divisors, whose sum is σ = 1646039146752. Its totient is φ = 88086528000.

The previous prime is 385487423977. The next prime is 385487424037. The reversal of 385487424000 is 424784583.

It is a happy number.

385487424000 is a `hidden beast` number, since 38 + 548 + 74 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108862230 + ... + 108865770.

Almost surely, 2385487424000 is an apocalyptic number.

385487424000 is a gapful number since it is divisible by the number (30) 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 385487424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823019573376).

385487424000 is an abundant number, since it is smaller than the sum of its proper divisors (1260551722752).

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

385487424000 is an frugal number, since it uses more digits than its factorization.

385487424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 385487424000 in words is "three hundred eighty-five billion, four hundred eighty-seven million, four hundred twenty-four thousand".