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482521507650 = 23452713361127
BaseRepresentation
bin1110000010110001000…
…01011110011101000010
31201010110202100022020000
413001120201132131002
530401201001221100
61005400050300430
746601222066610
oct7013041363502
91633422308200
10482521507650
111766aa8a24a6
1279623587716
1336669c93000
14194d5b8a6b0
15c841440900
hex705885e742

482521507650 has 960 divisors, whose sum is σ = 1700344504320. Its totient is φ = 99349286400.

The previous prime is 482521507639. The next prime is 482521507669. The reversal of 482521507650 is 56705125284.

482521507650 is a `hidden beast` number, since 4 + 8 + 2 + 521 + 5 + 0 + 76 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 482521507596 and 482521507605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3799381887 + ... + 3799382013.

It is an arithmetic number, because the mean of its divisors is an integer number (1771192192).

Almost surely, 2482521507650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482521507650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850172252160).

482521507650 is an abundant number, since it is smaller than the sum of its proper divisors (1217822996670).

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

482521507650 is a wasteful number, since it uses less digits than its factorization.

482521507650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 482521507650 in words is "four hundred eighty-two billion, five hundred twenty-one million, five hundred seven thousand, six hundred fifty".