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485640361440 = 2532513292109283
BaseRepresentation
bin1110001000100100110…
…10111101010111100000
31201102112010000111022100
413010102122331113200
530424042413031230
61011033342210400
750041422651033
oct7042232752740
91642463014270
10485640361440
11177a60361513
127a153b83a00
1336a4618c820
141971009101a
15c975160660
hex71126bd5e0

485640361440 has 864 divisors, whose sum is σ = 1871941911840. Its totient is φ = 113957093376.

The previous prime is 485640361403. The next prime is 485640361463. The reversal of 485640361440 is 44163046584.

485640361440 is a `hidden beast` number, since 4 + 8 + 564 + 0 + 36 + 14 + 40 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1716043539 + ... + 1716043821.

It is an arithmetic number, because the mean of its divisors is an integer number (2166599435).

Almost surely, 2485640361440 is an apocalyptic number.

485640361440 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 485640361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935970955920).

485640361440 is an abundant number, since it is smaller than the sum of its proper divisors (1386301550400).

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

485640361440 is a wasteful number, since it uses less digits than its factorization.

485640361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 485640361440 in words is "four hundred eighty-five billion, six hundred forty million, three hundred sixty-one thousand, four hundred forty".