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3045721952448 = 2632719297119309
BaseRepresentation
bin101100010100100011001…
…011001101000011000000
3101210011112121012010002100
4230110203023031003000
5344400114304434243
610251104011350400
7433021554304020
oct54244313150300
911704477163070
103045721952448
11a7475770533a
12412346152400
13191297198436
14a75b13b5a80
155435d73e0d3
hex2c5232cd0c0

3045721952448 has 672 divisors, whose sum is σ = 11018007936000. Its totient is φ = 784726548480.

The previous prime is 3045721952443. The next prime is 3045721952489. The reversal of 3045721952448 is 8442591275403.

It is a happy number.

3045721952448 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 7 + 2 + 195 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 3045721952394 and 3045721952403.

It is not an unprimeable number, because it can be changed into a prime (3045721952443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157726218 + ... + 157745526.

Almost surely, 23045721952448 is an apocalyptic number.

3045721952448 is a gapful number since it is divisible by the number (38) 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 3045721952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509003968000).

3045721952448 is an abundant number, since it is smaller than the sum of its proper divisors (7972285983552).

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

3045721952448 is a wasteful number, since it uses less digits than its factorization.

3045721952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19453 (or 19440 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3045721952448 in words is "three trillion, forty-five billion, seven hundred twenty-one million, nine hundred fifty-two thousand, four hundred forty-eight".