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485660344320 = 21435531787
BaseRepresentation
bin1110001000100111001…
…11001100000000000000
31201102120111121201200000
413010103213030000000
530424113022004240
61011035334400000
750042054546124
oct7042347140000
91642514551600
10485660344320
11177a7066a998
127a15a800000
1336a4a368208
14197129b3584
15c976cab430
hex71139cc000

485660344320 has 720 divisors, whose sum is σ = 1804535835648. Its totient is φ = 125172449280.

The previous prime is 485660344297. The next prime is 485660344331. The reversal of 485660344320 is 23443066584.

485660344320 is a `hidden beast` number, since 4 + 8 + 5 + 6 + 603 + 4 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617102967 + ... + 617103753.

Almost surely, 2485660344320 is an apocalyptic number.

485660344320 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 485660344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902267917824).

485660344320 is an abundant number, since it is smaller than the sum of its proper divisors (1318875491328).

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

485660344320 is an frugal number, since it uses more digits than its factorization.

485660344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 485660344320 in words is "four hundred eighty-five billion, six hundred sixty million, three hundred forty-four thousand, three hundred twenty".