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63198535680 = 2133257191289
BaseRepresentation
bin111010110110111011…
…010010000000000000
320001010102012020211200
4322312323102000000
52013412311120210
645011043541200
74365055455420
oct726673220000
9201112166750
1063198535680
1124890a20285
12102b908a800
135c62305357
1430b75ba480
15199d4620c0
hexeb6ed2000

63198535680 has 672 divisors, whose sum is σ = 263753193600. Its totient is φ = 13674479616.

The previous prime is 63198535667. The next prime is 63198535681. The reversal of 63198535680 is 8653589136.

63198535680 is a `hidden beast` number, since 63 + 19 + 8 + 5 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63198535681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49028476 + ... + 49029764.

Almost surely, 263198535680 is an apocalyptic number.

63198535680 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 63198535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131876596800).

63198535680 is an abundant number, since it is smaller than the sum of its proper divisors (200554657920).

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

63198535680 is a wasteful number, since it uses less digits than its factorization.

63198535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 63198535680 in words is "sixty-three billion, one hundred ninety-eight million, five hundred thirty-five thousand, six hundred eighty".