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378496050912 = 25347190710939
BaseRepresentation
bin1011000001000000001…
…11110110011011100000
31100011222001002120110000
411200200013312123200
522200124442112122
6445513443540000
736226325230620
oct5404007663340
91304861076400
10378496050912
11136579176151
126143168a600
13298cc4bab05
141446826a880
159ca3b030ac
hex58201f66e0

378496050912 has 240 divisors, whose sum is σ = 1272950743680. Its totient is φ = 108075140352.

The previous prime is 378496050887. The next prime is 378496050917. The reversal of 378496050912 is 219050694873.

378496050912 is a `hidden beast` number, since 3 + 78 + 4 + 9 + 60 + 509 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378496050917) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34595139 + ... + 34606077.

It is an arithmetic number, because the mean of its divisors is an integer number (5303961432).

It is a 1-persistent number, because it is pandigital, but 2⋅378496050912 = 756992101824 is not.

Almost surely, 2378496050912 is an apocalyptic number.

378496050912 is a gapful number since it is divisible by the number (32) 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 378496050912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636475371840).

378496050912 is an abundant number, since it is smaller than the sum of its proper divisors (894454692768).

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

378496050912 is a wasteful number, since it uses less digits than its factorization.

378496050912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12875 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 378496050912 in words is "three hundred seventy-eight billion, four hundred ninety-six million, fifty thousand, nine hundred twelve".