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447345212652 = 2232132997373911
BaseRepresentation
bin1101000001001111101…
…10100011110011101100
31120202200020221101000100
412200213312203303230
524312130333301102
6541301344231100
744214426365652
oct6404766436354
91522606841010
10447345212652
1116279978a418
127284700b490
1333252394980
141791a0acdd2
15b983189a1c
hex6827da3cec

447345212652 has 288 divisors, whose sum is σ = 1277565569280. Its totient is φ = 131031613440.

The previous prime is 447345212617. The next prime is 447345212653. The reversal of 447345212652 is 256212543744.

447345212652 is a `hidden beast` number, since 4 + 4 + 73 + 4 + 521 + 2 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 447345212598 and 447345212607.

It is not an unprimeable number, because it can be changed into a prime (447345212653) 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, 491048077 + ... + 491048987.

It is an arithmetic number, because the mean of its divisors is an integer number (4435991560).

Almost surely, 2447345212652 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 447345212652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638782784640).

447345212652 is an abundant number, since it is smaller than the sum of its proper divisors (830220356628).

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

447345212652 is a wasteful number, since it uses less digits than its factorization.

447345212652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1428 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 447345212652 in words is "four hundred forty-seven billion, three hundred forty-five million, two hundred twelve thousand, six hundred fifty-two".