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993641472 = 2103383433
BaseRepresentation
bin111011001110011…
…100010000000000
32120020201012212000
4323032130100000
54013333011342
6242333104000
733423545625
oct7316342000
92506635760
10993641472
1146a9805aa
12238928000
1312ab21c45
1495d7434c
155c37744c
hex3b39c400

993641472 has 176 divisors, whose sum is σ = 2985017280. Its totient is φ = 326467584.

The previous prime is 993641459. The next prime is 993641477. The reversal of 993641472 is 274146399.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (993641477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2294568 + ... + 2295000.

Almost surely, 2993641472 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 993641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492508640).

993641472 is an abundant number, since it is smaller than the sum of its proper divisors (1991375808).

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

993641472 is a wasteful number, since it uses less digits than its factorization.

993641472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 521 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 993641472 is about 31522.0791192459. The cubic root of 993641472 is about 997.8759824101.

The spelling of 993641472 in words is "nine hundred ninety-three million, six hundred forty-one thousand, four hundred seventy-two".