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636380968608 = 2534711217359
BaseRepresentation
bin10010100001010110100…
…00101111011010100000
32020211121111001202020000
421100223100233122200
540411302011443413
61204203244420000
763656053660620
oct11205320573240
92224544052200
10636380968608
11225984514800
12a3402847600
1348019cc8378
1422b2dd4a880
1511848c84073
hex942b42f6a0

636380968608 has 1440 divisors, whose sum is σ = 2540325110400. Its totient is φ = 152933806080.

The previous prime is 636380968519. The next prime is 636380968627. The reversal of 636380968608 is 806869083636.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 10786118083 + ... + 10786118141.

It is an arithmetic number, because the mean of its divisors is an integer number (1764114660).

Almost surely, 2636380968608 is an apocalyptic number.

636380968608 is a gapful number since it is divisible by the number (68) 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 636380968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270162555200).

636380968608 is an abundant number, since it is smaller than the sum of its proper divisors (1903944141792).

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

636380968608 is a wasteful number, since it uses less digits than its factorization.

636380968608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 636380968608 in words is "six hundred thirty-six billion, three hundred eighty million, nine hundred sixty-eight thousand, six hundred eight".