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378932666112 = 283271113433821
BaseRepresentation
bin1011000001110100010…
…01011001111100000000
31100020002110122220220100
411200322021121330000
522202023230303422
6450025042042400
736243206342340
oct5407211317400
91306073586810
10378932666112
1113678267a660
1261533949400
132996baac3c0
14144aa242d20
159ccc0ea7ac
hex583a259f00

378932666112 has 864 divisors, whose sum is σ = 1501436192256. Its totient is φ = 88716902400.

The previous prime is 378932666029. The next prime is 378932666113. The reversal of 378932666112 is 211666239873.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378932666113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99169162 + ... + 99172982.

Almost surely, 2378932666112 is an apocalyptic number.

378932666112 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 378932666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750718096128).

378932666112 is an abundant number, since it is smaller than the sum of its proper divisors (1122503526144).

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

378932666112 is a wasteful number, since it uses less digits than its factorization.

378932666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3900 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 378932666112 in words is "three hundred seventy-eight billion, nine hundred thirty-two million, six hundred sixty-six thousand, one hundred twelve".