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394938324329472 = 21033711319231137
BaseRepresentation
bin101100111001100011011111…
…0100001111010010000000000
31220210100201211212111022011000
41121303012332201322100000
5403231132142012020342
63515544054514452000
7146121231563420520
oct13163067641722000
91823321755438130
10394938324329472
11104926448077000
1238365839894000
1313c4a6a781acb1
146d7518ca5b680
15309d3bb00e44c
hex16731be87a400

394938324329472 has 4224 divisors, whose sum is σ = 1613477591285760. Its totient is φ = 93360970137600.

The previous prime is 394938324329467. The next prime is 394938324329473. The reversal of 394938324329472 is 274923423839493.

394938324329472 is a `hidden beast` number, since 3 + 9 + 4 + 9 + 3 + 8 + 32 + 432 + 94 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 394938324329472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394938324329473) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2882761491388 + ... + 2882761491524.

Almost surely, 2394938324329472 is an apocalyptic number.

394938324329472 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 394938324329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806738795642880).

394938324329472 is an abundant number, since it is smaller than the sum of its proper divisors (1218539266956288).

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

394938324329472 is a wasteful number, since it uses less digits than its factorization.

394938324329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 210 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 72.

The spelling of 394938324329472 in words is "three hundred ninety-four trillion, nine hundred thirty-eight billion, three hundred twenty-four million, three hundred twenty-nine thousand, four hundred seventy-two".