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6818535040 = 27530893449
BaseRepresentation
bin1100101100110101…
…01001011010000000
3122121012021110122211
412112122221122000
5102431021110130
63044332511504
7330653406622
oct62632513200
918535243584
106818535040
112989981329
1213a361b594
1384883b325
14489800c12
1529d921a2a
hex1966a9680

6818535040 has 64 divisors (see below), whose sum is σ = 16310565000. Its totient is φ = 2725740544.

The previous prime is 6818535037. The next prime is 6818535091. The reversal of 6818535040 is 405358186.

It can be written as a sum of positive squares in 4 ways, for example, as 4820802624 + 1997732416 = 69432^2 + 44696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6818534984 and 6818535002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1975236 + ... + 1978684.

Almost surely, 26818535040 is an apocalyptic number.

It is an amenable number.

6818535040 is an abundant number, since it is smaller than the sum of its proper divisors (9492029960).

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

6818535040 is a wasteful number, since it uses less digits than its factorization.

6818535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 6818535040 is about 82574.4212211021. The cubic root of 6818535040 is about 1896.2562514541.

The spelling of 6818535040 in words is "six billion, eight hundred eighteen million, five hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3089 3449 6178 6898 12356 13796 15445 17245 24712 27592 30890 34490 49424 55184 61780 68980 98848 110368 123560 137960 197696 220736 247120 275920 395392 441472 494240 551840 988480 1103680 1976960 2207360 10653961 21307922 42615844 53269805 85231688 106539610 170463376 213079220 340926752 426158440 681853504 852316880 1363707008 1704633760 3409267520 6818535040