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54783630720 = 27355731379
BaseRepresentation
bin110011000001010110…
…111101110110000000
312020101222001210100000
4303001112331312000
51344144102140340
641100043200000
73646406115000
oct630126756600
9166358053300
1054783630720
1121262a27675
12a74ab16000
135220b32650
142919b8c000
15165980bd30
hexcc15bdd80

54783630720 has 1536 divisors, whose sum is σ = 249500160000. Its totient is φ = 11412430848.

The previous prime is 54783630719. The next prime is 54783630739. The reversal of 54783630720 is 2703638745.

54783630720 is a `hidden beast` number, since 5 + 4 + 7 + 8 + 3 + 630 + 7 + 2 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 693463641 + ... + 693463719.

It is an arithmetic number, because the mean of its divisors is an integer number (162435000).

Almost surely, 254783630720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54783630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080000).

54783630720 is an abundant number, since it is smaller than the sum of its proper divisors (194716529280).

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

54783630720 is an equidigital number, since it uses as much as digits as its factorization.

54783630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 54783630720 in words is "fifty-four billion, seven hundred eighty-three million, six hundred thirty thousand, seven hundred twenty".