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63197553136640 = 2105132411781393
BaseRepresentation
bin11100101111010010100111…
…01101001001010000000000
322021202121221010201221101212
432113221103231021100000
531240412042100333030
6342224315523145252
716211605165231226
oct1627512355112000
9267677833657355
1063197553136640
1119155a2820935a
127108138815228
1329356717b4100
141186ac6772b16
15748da7a39595
hex397a53b49400

63197553136640 has 264 divisors, whose sum is σ = 168162617396088. Its totient is φ = 22765334691840.

The previous prime is 63197553136621. The next prime is 63197553136771. The reversal of 63197553136640 is 4663135579136.

It can be written as a sum of positive squares in 12 ways, for example, as 53426977509376 + 9770575627264 = 7309376^2 + 3125792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63197553136640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34585784 + ... + 36367176.

Almost surely, 263197553136640 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 63197553136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84081308698044).

63197553136640 is an abundant number, since it is smaller than the sum of its proper divisors (104965064259448).

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

63197553136640 is a wasteful number, since it uses less digits than its factorization.

63197553136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781485 (or 1781454 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 59.

The spelling of 63197553136640 in words is "sixty-three trillion, one hundred ninety-seven billion, five hundred fifty-three million, one hundred thirty-six thousand, six hundred forty".