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394163900520 = 2335131276593019
BaseRepresentation
bin1011011110001011111…
…11111101000001101000
31101200101221220210120020
411233011333331001220
522424221424304040
6501024300200440
740322514605505
oct5570577750150
91350357823506
10394163900520
11142189278495
1264484839120
132b2284ca540
141511305a4ac
15a3be388cd0
hex5bc5ffd068

394163900520 has 256 divisors, whose sum is σ = 1285853184000. Its totient is φ = 96083076096.

The previous prime is 394163900489. The next prime is 394163900561. The reversal of 394163900520 is 25009361493.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130559571 + ... + 130562589.

It is an arithmetic number, because the mean of its divisors is an integer number (5022864000).

Almost surely, 2394163900520 is an apocalyptic number.

394163900520 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 394163900520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642926592000).

394163900520 is an abundant number, since it is smaller than the sum of its proper divisors (891689283480).

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

394163900520 is a wasteful number, since it uses less digits than its factorization.

394163900520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 394163900520 in words is "three hundred ninety-four billion, one hundred sixty-three million, nine hundred thousand, five hundred twenty".