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426243806784 = 2632898314681
BaseRepresentation
bin1100011001111100001…
…11000101011001000000
31111202012122220212221200
412030332013011121000
523440421403304114
6523451432021200
742536501402145
oct6147607053100
91452178825850
10426243806784
11154850575914
126a738231800
133126b7664b3
14168b78003cc
15b14a8ab409
hex633e1c5640

426243806784 has 84 divisors (see below), whose sum is σ = 1235478598380. Its totient is φ = 140484833280.

The previous prime is 426243806777. The next prime is 426243806801. The reversal of 426243806784 is 487608342624.

426243806784 is a `hidden beast` number, since 4 + 2 + 624 + 3 + 8 + 0 + 6 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41645381184 + 384598425600 = 204072^2 + 620160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 426243806784.

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 11 ways as a sum of consecutive naturals, for example, 4106077 + ... + 4208604.

Almost surely, 2426243806784 is an apocalyptic number.

It is an amenable number.

426243806784 is an abundant number, since it is smaller than the sum of its proper divisors (809234791596).

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

426243806784 is a wasteful number, since it uses less digits than its factorization.

426243806784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314788 (or 8314775 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 426243806784 in words is "four hundred twenty-six billion, two hundred forty-three million, eight hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 534 576 712 801 1068 1424 1602 2136 2848 3204 4272 5696 6408 8544 12816 17088 25632 51264 8314681 16629362 24944043 33258724 49888086 66517448 74832129 99776172 133034896 149664258 199552344 266069792 299328516 399104688 532139584 598657032 740006609 798209376 1197314064 1480013218 1596418752 2220019827 2394628128 2960026436 4440039654 4789256256 5920052872 6660059481 8880079308 11840105744 13320118962 17760158616 23680211488 26640237924 35520317232 47360422976 53280475848 71040634464 106560951696 142081268928 213121903392 426243806784