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485655694800 = 243522272636779
BaseRepresentation
bin1110001000100110101…
…01011100110111010000
31201102120011212111201120
413010103111130313100
530424110324213200
61011035051002240
750042000202513
oct7042325346720
91642504774646
10485655694800
11177a68a84711
127a159139380
1336a493cab13
1419712122d7a
15c97668d9a0
hex711355cdd0

485655694800 has 240 divisors, whose sum is σ = 1568743165440. Its totient is φ = 128428459520.

The previous prime is 485655694781. The next prime is 485655694831. The reversal of 485655694800 is 8496556584.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4856556948002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 71637811 + ... + 71644589.

It is an arithmetic number, because the mean of its divisors is an integer number (6536429856).

Almost surely, 2485655694800 is an apocalyptic number.

485655694800 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 485655694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784371582720).

485655694800 is an abundant number, since it is smaller than the sum of its proper divisors (1083087470640).

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

485655694800 is a wasteful number, since it uses less digits than its factorization.

485655694800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 485655694800 in words is "four hundred eighty-five billion, six hundred fifty-five million, six hundred ninety-four thousand, eight hundred".