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816220314450 = 23252425892
BaseRepresentation
bin10111110000010101000…
…01011001101101010010
32220000210210112002101200
423320022201121231102
5101333104400030300
61422544430012030
7112653462125352
oct13701241315522
92800723462350
10816220314450
112951800a8052
12112232647016
135bc7a580488
142b710686b62
1516372306200
hexbe0a859b52

816220314450 has 54 divisors (see below), whose sum is σ = 2192963402799. Its totient is φ = 217653639840.

The previous prime is 816220314397. The next prime is 816220314557. The reversal of 816220314450 is 54413022618.

It is a happy number.

816220314450 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 203 + 1 + 445 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 40036408281 + 776183906169 = 200091^2 + 881013^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=638835.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19143756 + ... + 19186344.

Almost surely, 2816220314450 is an apocalyptic number.

816220314450 is an abundant number, since it is smaller than the sum of its proper divisors (1376743088349).

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

816220314450 is an frugal number, since it uses more digits than its factorization.

816220314450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85196 (or 42599 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 816220314450 in words is "eight hundred sixteen billion, two hundred twenty million, three hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 42589 85178 127767 212945 255534 383301 425890 638835 766602 1064725 1277670 1916505 2129450 3194175 3833010 6388350 9582525 19165050 1813822921 3627645842 5441468763 9069114605 10882937526 16324406289 18138229210 27207343815 32648812578 45345573025 54414687630 81622031445 90691146050 136036719075 163244062890 272073438150 408110157225 816220314450