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63730021680 = 243251321373823
BaseRepresentation
bin111011010110100110…
…101111010100110000
320002111110021112120100
4323112212233110300
52021004341143210
645135511312400
74414201150323
oct732646572460
9202443245510
1063730021680
1125033a32606
121042707b700
136018462900
14312800a7ba
1519cee495c0
hexed69af530

63730021680 has 360 divisors, whose sum is σ = 233509393728. Its totient is φ = 15568809984.

The previous prime is 63730021679. The next prime is 63730021697. The reversal of 63730021680 is 8612003736.

It is a happy number.

63730021680 is a `hidden beast` number, since 63 + 7 + 300 + 216 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16668249 + ... + 16672071.

Almost surely, 263730021680 is an apocalyptic number.

63730021680 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 63730021680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116754696864).

63730021680 is an abundant number, since it is smaller than the sum of its proper divisors (169779372048).

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

63730021680 is a wasteful number, since it uses less digits than its factorization.

63730021680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 63730021680 in words is "sixty-three billion, seven hundred thirty million, twenty-one thousand, six hundred eighty".