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642803228820 = 223252925971971
BaseRepresentation
bin10010101101010100000…
…11101110000010010100
32021110012001200101000100
421112222003232002110
541012430111310240
61211144424014100
764304156202414
oct11265203560224
92243161611010
10642803228820
1122867a734975
12a46b5601330
13488016ca83c
142317cc76644
1511ac29cae30
hex95aa0ee094

642803228820 has 216 divisors, whose sum is σ = 2053646169120. Its totient is φ = 162695957760.

The previous prime is 642803228803. The next prime is 642803228839. The reversal of 642803228820 is 28822308246.

642803228820 is a `hidden beast` number, since 64 + 280 + 32 + 288 + 2 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 8895435 + ... + 8967405.

Almost surely, 2642803228820 is an apocalyptic number.

642803228820 is a gapful number since it is divisible by the number (60) 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 642803228820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026823084560).

642803228820 is an abundant number, since it is smaller than the sum of its proper divisors (1410842940300).

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

642803228820 is a wasteful number, since it uses less digits than its factorization.

642803228820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72103 (or 72069 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 642803228820 in words is "six hundred forty-two billion, eight hundred three million, two hundred twenty-eight thousand, eight hundred twenty".