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10645426334052 = 2232773479379813
BaseRepresentation
bin1001101011101001010011…
…0110101110100101100100
31101200200201001202011202100
42122322110312232211210
52343403313120142202
634350235155212100
72146051405562106
oct232722466564544
941620631664670
1010645426334052
113434777704754
12123b1a38a7030
135c2b23128923
1428b3544dd576
15136da2d6541c
hex9ae94dae964

10645426334052 has 72 divisors (see below), whose sum is σ = 26950042809144. Its totient is φ = 3543101139456.

The previous prime is 10645426334021. The next prime is 10645426334063. The reversal of 10645426334052 is 25043362454601.

10645426334052 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 4 + 2 + 633 + 4 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4040968366656 + 6604457967396 = 2010216^2 + 2569914^2 .

It is a super-2 number, since 2×106454263340522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645426333989 and 10645426334007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133339698 + ... + 133419510.

It is an arithmetic number, because the mean of its divisors is an integer number (374306150127).

Almost surely, 210645426334052 is an apocalyptic number.

10645426334052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10645426334052 is an abundant number, since it is smaller than the sum of its proper divisors (16304616475092).

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

10645426334052 is a wasteful number, since it uses less digits than its factorization.

10645426334052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85389 (or 85384 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 10645426334052 its reverse (25043362454601), we get a palindrome (35688788788653).

The spelling of 10645426334052 in words is "ten trillion, six hundred forty-five billion, four hundred twenty-six million, three hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 773 1546 2319 3092 4638 4793 6957 9276 9586 13914 14379 19172 27828 28758 43137 57516 79813 86274 159626 172548 239439 319252 478878 718317 957756 1436634 2873268 3704989 7409978 11114967 14819956 22229934 33344901 44459868 61695449 66689802 123390898 133379604 185086347 246781796 370172694 382543709 555259041 740345388 765087418 1110518082 1147631127 1530174836 2221036164 2295262254 3442893381 4590524508 6885786762 13771573524 295706287057 591412574114 887118861171 1182825148228 1774237722342 2661356583513 3548475444684 5322713167026 10645426334052