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378216226608 = 24311131137167239
BaseRepresentation
bin1011000000011110111…
…00011001111100110000
31100011020112120000122220
411200033130121330300
522144041323222413
6445430010201040
736216356611413
oct5401734317460
91304215500586
10378216226608
11136445221aa0
1261373a23180
13298865353bc
141443d029b7a
159c8927c223
hex580f719f30

378216226608 has 320 divisors, whose sum is σ = 1092890050560. Its totient is φ = 111760230400.

The previous prime is 378216226603. The next prime is 378216226639. The reversal of 378216226608 is 806622612873.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (378216226603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1582494553 + ... + 1582494791.

It is an arithmetic number, because the mean of its divisors is an integer number (3415281408).

Almost surely, 2378216226608 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 378216226608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546445025280).

378216226608 is an abundant number, since it is smaller than the sum of its proper divisors (714673823952).

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

378216226608 is a wasteful number, since it uses less digits than its factorization.

378216226608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 378216226608 in words is "three hundred seventy-eight billion, two hundred sixteen million, two hundred twenty-six thousand, six hundred eight".