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678102720768 = 283511990961
BaseRepresentation
bin10011101111000100001…
…00100110000100000000
32101211022010220100200000
421313202010212010000
542102223244031033
61235303250400000
766664006011204
oct11674204460400
92354263810600
10678102720768
11241644342710
12ab507290000
134bc389a1c95
1424b6b062b04
151298b9b9a13
hex9de2126100

678102720768 has 216 divisors, whose sum is σ = 2211874750176. Its totient is φ = 205485465600.

The previous prime is 678102720749. The next prime is 678102720769. The reversal of 678102720768 is 867027201876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (678102720769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188808 + ... + 1179768.

Almost surely, 2678102720768 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 678102720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105937375088).

678102720768 is an abundant number, since it is smaller than the sum of its proper divisors (1533772029408).

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

678102720768 is an equidigital number, since it uses as much as digits as its factorization.

678102720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991003 (or 990977 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 678102720768 in words is "six hundred seventy-eight billion, one hundred two million, seven hundred twenty thousand, seven hundred sixty-eight".