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485477018400 = 25352111091131493
BaseRepresentation
bin1110001000010001010…
…11110110101100100000
31201102002201122210210010
413010020223312230200
530423224104042100
61011005225204520
750034400366203
oct7041053665440
91642081583703
10485477018400
11177987136470
127a109330740
1336a1b39b53a
14196d64d193a
15c965b47750
hex7108af6b20

485477018400 has 576 divisors, whose sum is σ = 1756271341440. Its totient is φ = 115502284800.

The previous prime is 485477018387. The next prime is 485477018401. The reversal of 485477018400 is 4810774584.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 485477018400.

It is not an unprimeable number, because it can be changed into a prime (485477018401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325168054 + ... + 325169546.

It is an arithmetic number, because the mean of its divisors is an integer number (3049082190).

Almost surely, 2485477018400 is an apocalyptic number.

485477018400 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 485477018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878135670720).

485477018400 is an abundant number, since it is smaller than the sum of its proper divisors (1270794323040).

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

485477018400 is a wasteful number, since it uses less digits than its factorization.

485477018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 485477018400 in words is "four hundred eighty-five billion, four hundred seventy-seven million, eighteen thousand, four hundred".