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378950045376 = 26372973133187
BaseRepresentation
bin1011000001110110010…
…11101100111011000000
31100020010200100212202210
411200323023230323000
522202042202423001
6450030502342120
736243510144630
oct5407313547300
91306120325683
10378950045376
1113679146a991
126153972a940
13299725859a6
14144ac6886c0
159ccd8cedd6
hex583b2ecec0

378950045376 has 224 divisors, whose sum is σ = 1201632791040. Its totient is φ = 103105142784.

The previous prime is 378950045333. The next prime is 378950045399. The reversal of 378950045376 is 673540059873.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2778655 + ... + 2911841.

Almost surely, 2378950045376 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 378950045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600816395520).

378950045376 is an abundant number, since it is smaller than the sum of its proper divisors (822682745664).

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

378950045376 is a wasteful number, since it uses less digits than its factorization.

378950045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133311 (or 133301 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 378950045376 in words is "three hundred seventy-eight billion, nine hundred fifty million, forty-five thousand, three hundred seventy-six".