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63673456896 = 2832727512
BaseRepresentation
bin111011010011001110…
…111101100100000000
320002100111211202021100
4323103032331210000
52020400401110041
645130131054400
74412613311400
oct732316754400
9202314752240
1063673456896
1125005008655
1210410141400
13600981941a
1431206c4800
1519c9ec46b6
hexed33bd900

63673456896 has 243 divisors, whose sum is σ = 213844288203. Its totient is φ = 18168192000.

The previous prime is 63673456883. The next prime is 63673456907. The reversal of 63673456896 is 69865437636.

It is a happy number.

The square root of 63673456896 is 252336.

It is a perfect power (a square), and thus also a powerful number.

63673456896 is a `hidden beast` number, since 6 + 3 + 67 + 3 + 4 + 568 + 9 + 6 = 666.

63673456896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×636734568963 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84784521 + ... + 84785271.

Almost surely, 263673456896 is an apocalyptic number.

63673456896 is the 252336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63673456896

63673456896 is an abundant number, since it is smaller than the sum of its proper divisors (150170831307).

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

63673456896 is an frugal number, since it uses more digits than its factorization.

63673456896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 763 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 63673456896 in words is "sixty-three billion, six hundred seventy-three million, four hundred fifty-six thousand, eight hundred ninety-six".