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485682480000 = 273454241311
BaseRepresentation
bin1110001000101001110…
…11101000001110000000
31201102122001021100010000
413010110323220032000
530424134203330000
61011041445040000
750042443651464
oct7042473501600
91642561240100
10485682480000
11177a82109843
127a1660b6000
1336a51b18753
14197158d64a4
15c978bd0000
hex7114ee8380

485682480000 has 800 divisors, whose sum is σ = 1819476893520. Its totient is φ = 128563200000.

The previous prime is 485682479977. The next prime is 485682480001. The reversal of 485682480000 is 84286584.

485682480000 is a `hidden beast` number, since 4 + 8 + 568 + 2 + 4 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485682480001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1561679845 + ... + 1561680155.

Almost surely, 2485682480000 is an apocalyptic number.

485682480000 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 485682480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909738446760).

485682480000 is an abundant number, since it is smaller than the sum of its proper divisors (1333794413520).

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

485682480000 is an equidigital number, since it uses as much as digits as its factorization.

485682480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 485682480000 in words is "four hundred eighty-five billion, six hundred eighty-two million, four hundred eighty thousand".