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941393664 = 283537409
BaseRepresentation
bin111000000111001…
…000011100000000
32102121101202100000
4320013020130000
53411444044124
6233225200000
732220466641
oct7007103400
92377352300
10941393664
11443434aa2
12223330000
1312005a693
148d0536c8
15579a66c9
hex381c8700

941393664 has 216 divisors, whose sum is σ = 2897942320. Its totient is φ = 304570368.

The previous prime is 941393653. The next prime is 941393669. The reversal of 941393664 is 466393149.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941393669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301492 + ... + 2301900.

Almost surely, 2941393664 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 941393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448971160).

941393664 is an abundant number, since it is smaller than the sum of its proper divisors (1956548656).

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

941393664 is an equidigital number, since it uses as much as digits as its factorization.

941393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 451 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 941393664 is about 30682.1391692300. The cubic root of 941393664 is about 980.0699880600.

The spelling of 941393664 in words is "nine hundred forty-one million, three hundred ninety-three thousand, six hundred sixty-four".