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8609904412672 = 2117357799809
BaseRepresentation
bin111110101001010011001…
…0010110100100000000000
31010111002200001010202022111
41331102212102310200000
52112031041012201142
630151200244145104
71546021312663033
oct175224622644000
933432601122274
108609904412672
11281a492643652
12b707a7698194
134a5bab4b1984
1421aa160c301a
15ede6b5ade17
hex7d4a64b4800

8609904412672 has 96 divisors (see below), whose sum is σ = 17481855245400. Its totient is φ = 4238579073024.

The previous prime is 8609904412663. The next prime is 8609904412693. The reversal of 8609904412672 is 2762144099068.

It can be written as a sum of positive squares in 4 ways, for example, as 8300483675136 + 309420737536 = 2881056^2 + 556256^2 .

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 7 ways as a sum of consecutive naturals, for example, 86213904 + ... + 86313712.

Almost surely, 28609904412672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8609904412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740927622700).

8609904412672 is an abundant number, since it is smaller than the sum of its proper divisors (8871950832728).

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

8609904412672 is an equidigital number, since it uses as much as digits as its factorization.

8609904412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100481 (or 100461 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 8609904412672 in words is "eight trillion, six hundred nine billion, nine hundred four million, four hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 577 584 1024 1154 1168 2048 2308 2336 4616 4672 9232 9344 18464 18688 36928 37376 42121 73856 74752 84242 99809 147712 149504 168484 199618 295424 336968 399236 590848 673936 798472 1181696 1347872 1596944 2695744 3193888 5391488 6387776 7286057 10782976 12775552 14572114 21565952 25551104 29144228 43131904 51102208 57589793 58288456 86263808 102204416 115179586 116576912 204408832 230359172 233153824 460718344 466307648 921436688 932615296 1842873376 1865230592 3685746752 3730461184 4204054889 7371493504 7460922368 8408109778 14742987008 14921844736 16816219556 29485974016 33632439112 58971948032 67264878224 117943896064 134529756448 269059512896 538119025792 1076238051584 2152476103168 4304952206336 8609904412672