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394716942103680 = 27335710132308933
BaseRepresentation
bin101100110111111100011001…
…1000111101111010010000000
31220202120120102100210000002000
41121233320303013233102000
5403214020244134304210
63515254243201224000
7146066233534513020
oct13157706307572200
91822516370700060
10394716942103680
11104850573628119
123832a955332000
1313c32856659a11
146d6858ac8ba80
1530977607daac0
hex166fe331ef480

394716942103680 has 512 divisors, whose sum is σ = 1613482316812800. Its totient is φ = 89327735193600.

The previous prime is 394716942103613. The next prime is 394716942103691. The reversal of 394716942103680 is 86301249617493.

394716942103680 is a `hidden beast` number, since 3 + 9 + 4 + 71 + 69 + 421 + 0 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3937507 + ... + 28371426.

It is an arithmetic number, because the mean of its divisors is an integer number (3151332650025).

Almost surely, 2394716942103680 is an apocalyptic number.

394716942103680 is a gapful number since it is divisible by the number (30) 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 394716942103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806741158406400).

394716942103680 is an abundant number, since it is smaller than the sum of its proper divisors (1218765374709120).

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

394716942103680 is a wasteful number, since it uses less digits than its factorization.

394716942103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32309069 (or 32309051 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 394716942103680 in words is "three hundred ninety-four trillion, seven hundred sixteen billion, nine hundred forty-two million, one hundred three thousand, six hundred eighty".