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104676311817 = 32711180183869
BaseRepresentation
bin110000101111100110…
…0011100001100001001
3101000012001221121002200
41201133030130030021
53203334113434232
6120030532350413
710363655653440
oct1413714341411
9330161847080
10104676311817
114043605a410
1218353a75409
139b4259845c
1450d0143d57
152ac9a5377c
hex185f31c309

104676311817 has 48 divisors (see below), whose sum is σ = 188614907520. Its totient is φ = 54346464000.

The previous prime is 104676311813. The next prime is 104676311869. The reversal of 104676311817 is 718113676401.

It is a happy number.

104676311817 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 7 + 631 + 1 + 8 + 1 + 7 = 666.

It is not a de Polignac number, because 104676311817 - 22 = 104676311813 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104676311813) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1206159 + ... + 1290027.

It is an arithmetic number, because the mean of its divisors is an integer number (3929477240).

Almost surely, 2104676311817 is an apocalyptic number.

It is an amenable number.

104676311817 is a deficient number, since it is larger than the sum of its proper divisors (83938595703).

104676311817 is a wasteful number, since it uses less digits than its factorization.

104676311817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85694 (or 85691 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 104676311817 in words is "one hundred four billion, six hundred seventy-six million, three hundred eleven thousand, eight hundred seventeen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1801 5403 12607 16209 19811 37821 59433 83869 113463 138677 178299 251607 416031 587083 754821 922559 1248093 1761249 2767677 5283747 6457913 8303031 19373739 58121217 151048069 453144207 1057336483 1359432621 1661528759 3172009449 4984586277 9516028347 11630701313 14953758831 34892103939 104676311817