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63274004640 = 253257112343577
BaseRepresentation
bin111010111011011011…
…001011000010100000
320001022200012110210100
4322323123023002200
52014041121122030
645022341302400
74366663110510
oct727333130240
9201280173710
1063274004640
112491a587220
121031a404a00
135c74b3a242
1430c3623840
1519a4dbd360
hexebb6cb0a0

63274004640 has 1152 divisors, whose sum is σ = 287937441792. Its totient is φ = 12262440960.

The previous prime is 63274004627. The next prime is 63274004657. The reversal of 63274004640 is 4640047236.

63274004640 is a `hidden beast` number, since 6 + 3 + 2 + 7 + 4 + 0 + 0 + 4 + 640 = 666.

63274004640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63274004595 and 63274004604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109660032 + ... + 109660608.

It is an arithmetic number, because the mean of its divisors is an integer number (249945696).

Almost surely, 263274004640 is an apocalyptic number.

63274004640 is a gapful number since it is divisible by the number (60) 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 63274004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143968720896).

63274004640 is an abundant number, since it is smaller than the sum of its proper divisors (224663437152).

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

63274004640 is a wasteful number, since it uses less digits than its factorization.

63274004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 63274004640 in words is "sixty-three billion, two hundred seventy-four million, four thousand, six hundred forty".