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678722688 = 27327174951
BaseRepresentation
bin101000011101000…
…111110010000000
31202022010200111100
4220131013302000
52342223111223
6151203214400
722551022230
oct5035076200
91668120440
10678722688
11319137446
1216b377400
13aa7cc777
14661d9cc0
153e8bd043
hex28747c80

678722688 has 192 divisors, whose sum is σ = 2363886720. Its totient is φ = 182476800.

The previous prime is 678722657. The next prime is 678722701. The reversal of 678722688 is 886227876.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 134613 + ... + 139563.

It is an arithmetic number, because the mean of its divisors is an integer number (12311910).

Almost surely, 2678722688 is an apocalyptic number.

678722688 is a gapful number since it is divisible by the number (68) 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 678722688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181943360).

678722688 is an abundant number, since it is smaller than the sum of its proper divisors (1685164032).

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

678722688 is a wasteful number, since it uses less digits than its factorization.

678722688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4980 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 678722688 is about 26052.3067692671. The cubic root of 678722688 is about 878.8149889985.

The spelling of 678722688 in words is "six hundred seventy-eight million, seven hundred twenty-two thousand, six hundred eighty-eight".