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820642024665 = 32547938072003
BaseRepresentation
bin10111111000100100001…
…00111000110011011001
32220110012221202020111200
423330102010320303121
5101421133324242130
61424555302344413
7113201163054651
oct13742204706331
92813187666450
10820642024665
1129703a035411
1211306742b109
135c503675158
142ba0da13361
15165305cc760
hexbf12138cd9

820642024665 has 24 divisors (see below), whose sum is σ = 1425415829760. Its totient is φ = 436762006944.

The previous prime is 820642024613. The next prime is 820642024883. The reversal of 820642024665 is 566420246028.

820642024665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820642024665 - 28 = 820642024409 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 820642024665.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19014447 + ... + 19057556.

It is an arithmetic number, because the mean of its divisors is an integer number (59392326240).

Almost surely, 2820642024665 is an apocalyptic number.

It is an amenable number.

820642024665 is a deficient number, since it is larger than the sum of its proper divisors (604773805095).

820642024665 is a wasteful number, since it uses less digits than its factorization.

820642024665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38072493 (or 38072490 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 820642024665 in words is "eight hundred twenty billion, six hundred forty-two million, twenty-four thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 479 1437 2395 4311 7185 21555 38072003 114216009 190360015 342648027 571080045 1713240135 18236489437 54709468311 91182447185 164128404933 273547341555 820642024665